{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Neural synthesis, feature visualization, and DeepDream notes\n",
    "\n",
    "This notebook introduces what we'll call here \"neural synthesis,\" the technique of synthesizing images using an iterative process which optimizes the pixels of the image to achieve some desired state of activations in a convolutional neural network. \n",
    "\n",
    "The technique in its modern form dates back to around 2009 and has its origins in early attempts to visualize what features were being learned by the different layers in the network (see [Erhan et al](https://pdfs.semanticscholar.org/65d9/94fb778a8d9e0f632659fb33a082949a50d3.pdf), [Simonyan et al](https://arxiv.org/pdf/1312.6034v2.pdf), and [Mahendran & Vedaldi](https://arxiv.org/pdf/1412.0035v1.pdf)) as well as in trying to identify flaws or vulnerabilities in networks by synthesizing and feeding them adversarial examples (see [Nguyen et al](https://arxiv.org/pdf/1412.1897v4.pdf), and [Dosovitskiy & Brox](https://arxiv.org/pdf/1506.02753.pdf)). The following is an example from Simonyan et al on visualizing image classification models.\n",
    "\n",
    "![Simonyan et al](http://yosinski.com/static/proj/deepvis_goose_ostrich.jpg)\n",
    "\n",
    "In 2012, the technique became widely known after [Le et al](https://googleblog.blogspot.in/2012/06/using-large-scale-brain-simulations-for.html) published results of an experiment in which a deep neural network was fed millions of images, predominantly from YouTube, and unexpectedly learned a cat face detector. At that time, the network was trained for three days on 16,000 CPU cores spread over 1,000 machines!\n",
    "\n",
    "![Le et al](https://image.slidesharecdn.com/quocle-mlconf-151113230600-lva1-app6891/95/quoc-le-software-engineer-google-at-mlconf-sf-111315-10-638.jpg?cb=1447456032)\n",
    "\n",
    "In 2015, following the rapid proliferation of cheap GPUs, Google software engineers [Mordvintsev, Olah, and Tyka](https://research.googleblog.com/2015/06/inceptionism-going-deeper-into-neural.html) first used it for ostensibly artistic purposes and introduced several innovations, including optimizing pixels over multiple scales (octaves), improved regularization, and most famously, using real images (photographs, paintings, etc) as input and optimizing their pixels so as to enhance whatever activations the network already detected (hence \"hallucinating\" or \"dreaming\"). They nicknamed their work \"Deepdream\" and released the first publicly available code for running it [in Caffe](https://github.com/google/deepdream/), which led to the technique being widely disseminated on social media, [puppyslugs](https://www.google.de/search?q=puppyslug&safe=off&tbm=isch&tbo=u&source=univ&sa=X&ved=0ahUKEwiT3aOwvtnXAhUHKFAKHXqdCBwQsAQIKQ&biw=960&bih=979) and all. Some highlights of their original work follow, with more found in [this gallery](https://photos.google.com/share/AF1QipPX0SCl7OzWilt9LnuQliattX4OUCj_8EP65_cTVnBmS1jnYgsGQAieQUc1VQWdgQ?key=aVBxWjhwSzg2RjJWLWRuVFBBZEN1d205bUdEMnhB).\n",
    "\n",
    "![deepdream](https://2.bp.blogspot.com/-17ajatawCW4/VYITTA1NkDI/AAAAAAAAAlM/eZmy5_Uu9TQ/s640/classvis.png)\n",
    "![deepdream](https://2.bp.blogspot.com/-nxPKPYA8otk/VYIWRcpjZfI/AAAAAAAAAmE/8dSuxLnSNQ4/s640/image-dream-map.png)\n",
    "\n",
    "A number of creative innovations were further introduced by [Mike Tyka](http://www.miketyka.com) including optimizing several channels along pre-arranged masks, and using feedback loops to generate video.  Some examples of his work follow.\n",
    "\n",
    "![deepdream](https://1.bp.blogspot.com/-XZ0i0zXOhQk/VYIXdyIL9kI/AAAAAAAAAmQ/UbA6j41w28o/s640/building-dreams.png)\n",
    "\n",
    "This notebook builds upon the code found in [tensorflow's deepdream example](https://github.com/tensorflow/tensorflow/tree/master/tensorflow/examples/tutorials/deepdream). The first part of this notebook will summarize that one, including naive optimization, multiscale generation, and Laplacian normalization. The code from that notebook is lightly modified and is mostly found in the the [lapnorm.py](../notebooks/lapnorm.py) script, which is imported into this notebook. The second part of this notebook builds upon that example by showing how to combine channels and mask their gradients, warp the canvas, and generate video using a feedback loop. Here is a [gallery of examples](http://www.genekogan.com/works/neural-synth/) and a [video work](https://vimeo.com/246047871).\n",
    "\n",
    "Before we get started, we need to make sure we have downloaded and placed the Inceptionism network in the data folder. Run the next cell if you haven't already downloaded it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "--2018-08-12 16:44:09--  https://storage.googleapis.com/download.tensorflow.org/models/inception5h.zip\n",
      "Resolving storage.googleapis.com (storage.googleapis.com)... 172.217.10.16, 2607:f8b0:4006:819::2010\n",
      "Connecting to storage.googleapis.com (storage.googleapis.com)|172.217.10.16|:443... connected.\n",
      "HTTP request sent, awaiting response... 200 OK\n",
      "Length: 49937555 (48M) [application/zip]\n",
      "Saving to: ‘./inception5h.zip’\n",
      "\n",
      "inception5h.zip     100%[===================>]  47.62M  64.3MB/s    in 0.7s    \n",
      "\n",
      "2018-08-12 16:44:10 (64.3 MB/s) - ‘./inception5h.zip’ saved [49937555/49937555]\n",
      "\n",
      "Archive:  inception5h.zip\n",
      "  inflating: inception5h/imagenet_comp_graph_label_strings.txt  \n",
      "  inflating: inception5h/tensorflow_inception_graph.pb  \n",
      "  inflating: inception5h/LICENSE     \n"
     ]
    }
   ],
   "source": [
    "#Grab inception model from online and unzip it (you can skip this step if you've already downloaded the model.\n",
    "!wget -P . https://storage.googleapis.com/download.tensorflow.org/models/inception5h.zip\n",
    "!unzip inception5h.zip -d inception5h/\n",
    "!rm inception5h.zip"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To get started, make sure all of the folloing import statements work without error. You should get a message telling you there are 59 layers in the network and 7548 channels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/paperspace/anaconda3/lib/python3.6/site-packages/h5py/__init__.py:36: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n",
      "  from ._conv import register_converters as _register_converters\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of layers 59\n",
      "Total number of feature channels: 7548\n"
     ]
    }
   ],
   "source": [
    "from __future__ import print_function\n",
    "from io import BytesIO\n",
    "import math, time, copy, json, os\n",
    "import glob\n",
    "from os import listdir\n",
    "from os.path import isfile, join\n",
    "from random import random\n",
    "from io import BytesIO\n",
    "from enum import Enum\n",
    "from functools import partial\n",
    "import PIL.Image\n",
    "from IPython.display import clear_output, Image, display, HTML\n",
    "import numpy as np\n",
    "import scipy.misc\n",
    "import tensorflow as tf\n",
    "\n",
    "# import everything from lapnorm.py\n",
    "from lapnorm import *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's inspect the network now. The following will give us the name of all the layers in the network, as well as the number of channels they contain. We can use this as a lookup table when selecting channels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "conv2d0_pre_relu 64\n",
      "conv2d1_pre_relu 64\n",
      "conv2d2_pre_relu 192\n",
      "mixed3a_1x1_pre_relu 64\n",
      "mixed3a_3x3_bottleneck_pre_relu 96\n",
      "mixed3a_3x3_pre_relu 128\n",
      "mixed3a_5x5_bottleneck_pre_relu 16\n",
      "mixed3a_5x5_pre_relu 32\n",
      "mixed3a_pool_reduce_pre_relu 32\n",
      "mixed3b_1x1_pre_relu 128\n",
      "mixed3b_3x3_bottleneck_pre_relu 128\n",
      "mixed3b_3x3_pre_relu 192\n",
      "mixed3b_5x5_bottleneck_pre_relu 32\n",
      "mixed3b_5x5_pre_relu 96\n",
      "mixed3b_pool_reduce_pre_relu 64\n",
      "mixed4a_1x1_pre_relu 192\n",
      "mixed4a_3x3_bottleneck_pre_relu 96\n",
      "mixed4a_3x3_pre_relu 204\n",
      "mixed4a_5x5_bottleneck_pre_relu 16\n",
      "mixed4a_5x5_pre_relu 48\n",
      "mixed4a_pool_reduce_pre_relu 64\n",
      "mixed4b_1x1_pre_relu 160\n",
      "mixed4b_3x3_bottleneck_pre_relu 112\n",
      "mixed4b_3x3_pre_relu 224\n",
      "mixed4b_5x5_bottleneck_pre_relu 24\n",
      "mixed4b_5x5_pre_relu 64\n",
      "mixed4b_pool_reduce_pre_relu 64\n",
      "mixed4c_1x1_pre_relu 128\n",
      "mixed4c_3x3_bottleneck_pre_relu 128\n",
      "mixed4c_3x3_pre_relu 256\n",
      "mixed4c_5x5_bottleneck_pre_relu 24\n",
      "mixed4c_5x5_pre_relu 64\n",
      "mixed4c_pool_reduce_pre_relu 64\n",
      "mixed4d_1x1_pre_relu 112\n",
      "mixed4d_3x3_bottleneck_pre_relu 144\n",
      "mixed4d_3x3_pre_relu 288\n",
      "mixed4d_5x5_bottleneck_pre_relu 32\n",
      "mixed4d_5x5_pre_relu 64\n",
      "mixed4d_pool_reduce_pre_relu 64\n",
      "mixed4e_1x1_pre_relu 256\n",
      "mixed4e_3x3_bottleneck_pre_relu 160\n",
      "mixed4e_3x3_pre_relu 320\n",
      "mixed4e_5x5_bottleneck_pre_relu 32\n",
      "mixed4e_5x5_pre_relu 128\n",
      "mixed4e_pool_reduce_pre_relu 128\n",
      "mixed5a_1x1_pre_relu 256\n",
      "mixed5a_3x3_bottleneck_pre_relu 160\n",
      "mixed5a_3x3_pre_relu 320\n",
      "mixed5a_5x5_bottleneck_pre_relu 48\n",
      "mixed5a_5x5_pre_relu 128\n",
      "mixed5a_pool_reduce_pre_relu 128\n",
      "mixed5b_1x1_pre_relu 384\n",
      "mixed5b_3x3_bottleneck_pre_relu 192\n",
      "mixed5b_3x3_pre_relu 384\n",
      "mixed5b_5x5_bottleneck_pre_relu 48\n",
      "mixed5b_5x5_pre_relu 128\n",
      "mixed5b_pool_reduce_pre_relu 128\n",
      "head0_bottleneck_pre_relu 128\n",
      "head1_bottleneck_pre_relu 128\n"
     ]
    }
   ],
   "source": [
    "for l, layer in enumerate(layers):\n",
    "    layer = layer.split(\"/\")[1]\n",
    "    num_channels = T(layer).shape[3]\n",
    "    print(layer, num_channels)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The basic idea is to take any image as input, then iteratively optimize its pixels so as to maximally activate a particular channel (feature extractor) in a trained convolutional network. We reproduce tensorflow's recipe here to read the code in detail. In `render_naive`, we take `img0` as input, then for `iter_n` steps, we calculate the gradient of the pixels with respect to our optimization objective, or in other words, the diff for all of the pixels we must add in order to make the image activate the objective. The objective we pass is a channel in one of the layers of the network, or an entire layer. Declare the function below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def render_naive(t_obj, img0, iter_n=20, step=1.0):\n",
    "    t_score = tf.reduce_mean(t_obj) # defining the optimization objective\n",
    "    t_grad = tf.gradients(t_score, t_input)[0] # behold the power of automatic differentiation!\n",
    "    img = img0.copy()\n",
    "    for i in range(iter_n):\n",
    "        g, score = sess.run([t_grad, t_score], {t_input:img})\n",
    "        # normalizing the gradient, so the same step size should work \n",
    "        g /= g.std()+1e-8         # for different layers and networks\n",
    "        img += g*step\n",
    "    return img\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's try running it. First, we initialize a 200x200 block of colored noise. We then select the layer `mixed4d_5x5_bottleneck_pre_relu` and the 20th channel in that layer as the objective, and run it through `render_naive` for 40 iterations. You can try to optimize at different layers or different channels to get a feel for how it looks."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/jpeg": 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iqjFWJauGMggde1NLZVlDntgY6U4D5sCnYG/cRyOM1OhabQ0nCqOuOoHpSYJJCnBPenFxswMkrzTdwD980J3Bqw7jaOpx6mhgBJkjnFLuU7cA8dfp6U0k5LZOQOhoTdybAQGIVvqPakUAMAOvb6Up+XO0dDkN3NCMgI3NgfxH+VDehVuiAbAQCSBTVYE8frUuRnrmozjiNjz1zihMSVx20HDHn1pAQvBBBHUUBix2gn6U5o/mGR14JFHYNhitkYzyPSnM+5AMcjqc0hUqQCSD6Uiq7HGcse2KNGgatsIVc98e9OyARuODzTlI3EFeOc+9IG+bIAx6k9aL33C/QQ4bA656+hoGM8gc96U/IwzxmkyAwQElf50O9gt3Asg2nqKELZwCTnPGOgpoAZjjH9KenDcfiKG9ATsHKhVx9TmndQoHfkA1E7ZOd3y9M9qcCAdrtkDrzjNCWgWe4igMRyeKUgjk/nRvT06/mDSFgx255x2oWoW1HjCjDH5vSimKTyGOScd+tFNaCle4nJzkkDGM05dyHBxgcj3oHzHHftQSASGPIxzSQ2nYV/mVWU555FNIbBwfmPqOtIrFnBBwPzxUhBXDEfTNNaaA0NQscZ59/wDP40NIMNjp2zSAbeVJ56d8UuFxyMg0rXdwbXQEG5cM3PtSsCpCk5B4pq7QB6inEjZkH5u4xRrcEIoBcAgY5zxyfag7SMc4HQ0m7A757U4neFAHyg+vX1o6hbS4wZycHAI6jtTzuwDk+1Aw7AdD7005EpDHjHTHajS4N3AZaXbnkeopwGG4GfqKQMGO7GWPoadtK/MCQfehvow22Gbhxk/iKPvA9enahs4GOAM/h9Kcp2tySCPah2DzGlxkkknpxikHQEDNKQCB8o9/enKCQpHIHbFDdkPRjkwoHb2qJt3QnGe4p7nGFJx60igMy4OT/OjzEr9BVPG0knjHIpucyDcx2jsO9SZQoM/ge1M3Lvxz06Ur+QeQfLjnnI60gAUk5znt0p2OTgcdx14oLgLgdexptghcFQMjqP1opvzNjLsfSiqitCZasbyCfUdqdgqCDzS7gV5HXrSYKkMp4H6VFyvIVVH0GfyNJksAd2MdulAbAZjzntTRuUbhkehPam1cNR+CeM4PrTTuZ8M2PXFKrAAZOT3NIcDPzHPXBGCKFZMNWrDs4fOeOMjHWmFup25zjinIctgkknsO1OYYI+bKkenQ0tgvfQAFCj17nNMbh8g474pWbDFlPOO3b3oVspgsW+vXNUtdRAsi9C3K4Jo3KxBJI98UnJH19+9PjYFQzNn+8KW2o5WvoMYheM9D82O9O3HG4Ej2xxTSw3k7evrSgA7Src980W6g30FYkBemfzFAPzlux96Z948E4HYU5TnjcaGg1SEBBfI4Hp605XGfvEe5pDtJAH3geaEzvBJ4HoaGGgnYg8sKTDAsQ3B9RyKlO3gY3H27VGV4PJwex7UXvuC02FRTt69vzpDv3EYweoz3pwKjAJwfXGaQD5s9vpRcFoIN2/IY5A4pVIxjJ3Y70gUhsE88U7IB2nPHQn1ob6Ba+oMHUfeO0jI9DRSCQuu4fdFFVG9hSsmJnrzgU7Jwp5Ib1poGR93r60pBIyScD1qUU7WFKH7q9D0pBtDbQfrRnaASfl75oGNuAffFCVwu1oKi4YcnHtTSGLMerE5znj60oYxj5jk0u3cODg0LcTuNULjn86UHkbskD070hkAYKAcnt6U5QMggHjqelC2G13GqwzndhfWnq6hsk5AHNNbGBjgnpTWBI44Yn8qbQJpD+QS2Dxzx2FNLjBI7c4zTlBKrjk9s0mTuyckUlpoLRjiQ+AM5NGAe/PamMV25GfwpA2Rwce1CVhtaCjGQD2GCfanJtI4BGO9IMgjPahSy8MRgfgDTSsG+rFZlJye33m/z9abnDAqxz6YpVZTx0NGPlb5jg8dehpJW0EtXcM8nPI9AetDbNoIGGI+b0pqLhR8xPvinF8KFI+b0oauL0DzBwM8jpml3bR82TyST9aaMlyFYHPBFPDEZz3oaHqloINrkHAOAQT04pP4878CmvyNoOM05c4wBn+tFuoWdhTGVG7cdpPPGKKd1UYyBjAGetFON7ET3GqASQWwe1NbJO0k49fWiikl1LYpwFAwQT1NJjccZxgDqOtFFNLQLifdOcc444pyHB5Y5P6UUUPSyEndXYnLNvwc0pJ8lhuIbHWiik0CdxODt9vbH50oI2gDIJ9RgUUU7XaBytoGcEckqO2cUruOx6gYNFFJqzuO+gn3gDg/j3pV2BgCTj0oool0QkwwuRzwKYMhye+OM0UVSXUFJvQch5AJ475NDFMEAk0UUrdR3sKuAByQw9v0pHOT90+/oKKKLahewLywOOlBPz5JIB7Ciii2oX0sJ95cgksPy+lGepz+FFFD1BMP4lwx98Ciiiq20JtfU/9k=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "img0 = np.random.uniform(size=(200, 200, 3)) + 100.0\n",
    "layer = 'mixed4d_3x3_bottleneck_pre_relu'\n",
    "channel = 140\n",
    "img1 = render_naive(T(layer)[:,:,:,channel], img0, 40, 1.0)\n",
    "display_image(img1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The above isn't so interesting yet. One improvement is to use repeated upsampling to effectively detect features at multiple scales (what we call \"octaves\") of the image. What we do is we start with a smaller image and calculate the gradients for that, going through the procedure like before. Then we upsample it by a particular ratio and calculate the gradients and modify the pixels of the result. We do this several times. \n",
    "\n",
    "You can see that `render_multiscale` is similar to `render_naive` except now the addition of the outer \"octave\" loop which repeatedly upsamples the image using the `resize` function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def render_multiscale(t_obj, img0, iter_n=10, step=1.0, octave_n=3, octave_scale=1.4):\n",
    "    t_score = tf.reduce_mean(t_obj) # defining the optimization objective\n",
    "    t_grad = tf.gradients(t_score, t_input)[0] # behold the power of automatic differentiation!\n",
    "    img = img0.copy()\n",
    "    for octave in range(octave_n):\n",
    "        if octave>0:\n",
    "            hw = np.float32(img.shape[:2])*octave_scale\n",
    "            img = resize(img, np.int32(hw))\n",
    "        for i in range(iter_n):\n",
    "            g = calc_grad_tiled(img, t_grad)\n",
    "            # normalizing the gradient, so the same step size should work \n",
    "            g /= g.std()+1e-8        # for different layers and networks\n",
    "            img += g*step\n",
    "        print(\"octave %d/%d\"%(octave+1, octave_n))\n",
    "    clear_output()\n",
    "    return img\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's try this on noise first. Note the new variables `octave_n` and `octave_scale` which control the parameters of the scaling. Thanks to tensorflow's patch to do the process on overlapping subrectangles, we don't have to worry about running out of memory. However, making the overall size large will mean the process takes longer to complete."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/jpeg": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "h, w = 200, 200\n",
    "octave_n = 3\n",
    "octave_scale = 1.4\n",
    "iter_n = 50\n",
    "\n",
    "img0 = np.random.uniform(size=(h, w, 3)) + 100.0\n",
    "\n",
    "layer = 'mixed4c_5x5_bottleneck_pre_relu'\n",
    "channel = 20\n",
    "\n",
    "img1 = render_multiscale(T(layer)[:,:,:,channel], img0, iter_n, 1.0, octave_n, octave_scale)\n",
    "display_image(img1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now load a real image and use that as the starting point. We'll use the kitty image in the assets folder. Here is the original.\n",
    "<img src=\"../assets/kitty.jpg\" alt=\"kitty\" style=\"width: 280px;\"/>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/jpeg": 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96dD/AKpSeO35ex61sloU1qWoz8oyRkMQAeDyM02aVhz16e2KjSQcheABgAMT0ye/TuKgJMmCGOKyaakTNJq7IpZZJmIUHHqfWrEMQij2jq1JvTckKDkVLcr5Uaup+arv2Fqx/wAtvhZBwOfrUfKP5zElD0FOZTIqNIPmI6U6Hazt5gxEO9RvqK5JFCTg9z9w06a4UR7IwC/dj2qrJes8mwD92BhKkQA9GBbHU9BT5erGQOH6uxyajKgt/HgkjIXNXhC3LBAQAMsD0/yagliU5PcA9WNWpDumrEHmADKn7w6Y29R+VCy5bHQ/5/KmSQsrlQfYZ/zzSx4RtkoPsavSwQfvaGhHIjKUIwe4qjcIImUAcM1PbdGc5JHBzUd2weBXH8LA1Cj2NKmupYjfAX/ZxxUxlAXae46j+tZ0MuRyfwqxuyu0HGeQf6VPLcxXuvQVjxjIPtTApY4HDehp7bXOUGxR1J7H1pVdETDDMv8AfHer6EpN6stTSiOFI1ULgZOf8aqtL6j6dxVZrlyc9D2+lOiuBK3lSj73Rh601T5UalrcZ4jG3JHIz1qo8hQ47fpViFZI5Mg81HewAT7uAHUHGeh6GpTSdi3FuPMCsCnfA7Yz7/XvQ3Vvx6UQKxUja5O0fdOPap/Jzgnggc/Nn/PNO6OWW9irsy2CDjOc9qXymQqu35M4JXrVpmSNPnI4P58VUa5bIWNj0A9M1SbZpGI8yrEf3DgbvlIxz681G103lhNuMZXj6U3YPN2ngkZ9ec0vl794PBz3p+6jWztcgMpYZY9vp2z/ADp4JAOOe59qf5fzYxkEkcVNHADJjgfXo3tRKSsZuVixbQl4w64KEYxTLu3jt763NupAZSWz2/zzVyAKg2fcYnkVXuZS8oDLh4264rmi3z+RC12KgLkMdowcDk+hpxjdm6KMN2bp2ql58nIx1YkfyqZZmO4iPPzen0ro17G8l0uWkiwpPHGSe1MCnbkIVUE9vSla5n2OojC85/CmiSUGKN5TsbI/wqbN7k3RMqNJIyhcAAEHpmpzGsCbiwPy7gAetVQzKMFuQcHJ7VF5b7Ix5gOGI69qhxQldjpWbptVkVjgNwcfWmQPeS3EXzhY14ZG4AHoCOKQxTMHXOPl+979DVtFZM7eegJXvWmijZFN2VkWlUZAJwffiqd8o85ACQQvOffmlaRwpyGA56cjr+lQSktIMjPy/wD1qytbW5EUMKygYTBJqvLI8Iw2DIf4R1oYPGSQzBf9kZxTC8SKWXJPcnrS1O6Gq2LkQIi29S3X3p8TLJdZGPLjDfielZi3hb93DzI3A9vercT7FEUXzkdcc8+9JSInA0lkBY/N8x6L61HKRsI9euKqmQxgBjlhwMGkSTGC5IJbhc8dO/pVxephKPKDcthflDfKAR1/GmLCCcvy7DG1eo96nIIGWALEAA/4Gl2LtfzGxtXLMeCKt1OUuJGI5NQcKRsEXBZRj86tvPHbJtC7mH61Xe6LIqwocdM9296jO8/K0hHfIrmc03qglHuE9y11ESBjB+7Ub7i8UpGQeDThtjSNlOWc4Ix1NRSMWjkAGAcfnVc1lZBHRhIFB+8SNvJz3zUJeNSv7yRRnOMVIcqW3sFL4EaDrwOaTKhCW5xmhT6HVGSsRRTRSQqC5JP96lLRW6F17frQVjfyw/YVDmMkGRs7TgD3qJ36A4xbuWoZCIwWzvfnHpSs2LgY+6q8n3//AFVX8zLFj1NN+0wg48wZ9BzWXPyi5ObUuQzASFmILE0C7RpuvAOfyqg5km/1MbE/3mIUfnRHZPGhJk3v1OOlO7eqNEo7PU1E2uODyTn6+360uzbyD/Dx78cfrVWMOAGAJ+lDzsgy4wB1J6VEqjLjTXQt/KuM5wuOnU/5OakWZecAH15P86ox3AlXzA3y9uOtLJuCqegPGRyPrTVR2LSSGyXGJCin5T09qI5t0gP99Wb+o/rVZ13ZJ+8Bg45GT/8Aqp6NibJHAyBj0HpVRfUmpJPQ0WmKKDyQRSBvNmRhydjKfw5FU/NUQqSW+7/EvH5j8KmhkU3EbYxmM5Hp6Vpe2pyyskaaYXGWOPc5H+Iqsx8m+mUfclVXH16GklnCcHvkdapPO0jI/IKhlP8AOhWWpzpSk7F1h6nH17Um0YJX745HuOtVZLjj61BDdMCuegXJz9eKfOjeEOU0mvFSNSnBPakmnMkP6/5/KsYzGWdFUZAG5vzwBVh7rAwOc9AKfP2N9tywk5a7iRQTtRv5kirMRARhgHCKOCc/r+NUrNGV5ZpBiV8BR/dXFXXOIssTjIB9cd/51D0ZjJ82w4kgnPy8fxDpz+vFRhST8pBJzjaTjH49KBIrucBkGe4zmrSYVDhW5/jGGrOdVNaMKdNp7FTYScdQKnS3d2XP3am8uPbuByB1I4I/CmySFUCqeCD07041X8KNlBb9Cu0m6QlRiMcAkU5DuICKWPq3AFIAEA++D0+VaVQJHwsjj1DjH6Upz13JdNNXQTJvTaoOM8svAqthYlBUgvwCV7n6VeebYMd/Ssa4fEpADgnnpT9rZWZyyp66CTzFh1AB9uKoNKQcK2w91blT9DT5Wz9C3P0Ix/gaoPLlF39QxRj+gNYyk3qNRtoSPJbqfmEiH0QZBpiyozfL1xnBHXHtVZ2eN8ZO09x3pVDHBOD/AC/PsfrWMpcyNeS2heikwVIgbA78EfrzVksrnLFAfdarxwSnndj0G7B/+vR5mOFYke/FTFqw6cW9j0aCbbkn1zmobq5eVgq5yaSPLKcHGTT40RJQzEHFejbW5DrpK1tSdpWWJUyQQOSBUcTHylXk5kPPtUV1eqzgR9z61AbpojjPRjTVNszlNvQusoUng5pI5AJC7HnuTWRJeSuSVcioRPMh3FhIo5OOo/CtfYO2pk4tdTeMis4OenNMkl3EIpyCDn2FUFlDoCr5U8lvX2qQSBFbP3nG0DvyazdNEqTuTRNiJQeTkuRnHPb+VNMz4lGQMYHXuaYCWR2yo92XIGahhBkklcRoVMnyknGQBirUUdEbJFgyKo+V03fdHPTvTBIWjjCgl2P3vRRUcsrgkAICOcAZp8abw4CkpH8uUxz+BoaMm2hWYpxGCzH1PP1xSI7KgXnLeo5oKrhlwg9iuT0z/nFNMapygbfwAS+e3ak0uhMbt2Y9ycEs3Tse3FUZVaX5dx684qwm+RSDkHvxTzAEXqAe3rSUwlSsynFAFzvJ5G3np0zmpo4gyYx0APPqfSkYcknccdMDrTDLP/Aqr9Tmt76GPJqWtnLYHbA/Dqah3xQuHkfAB6Z5P4VAILiZ8ySOw9O35VaEIiIGBUKUWaTw9luVpXuLxmREMcLkAZPzKorSlkLKUTJGdodup45p0cajk8CoyPKG9gPnJ2+grK/M9QUVHREb/IG2sBgd+5qKQYijDMTk7sVKR8jRNzKR19KRCFgXd8zLxg1qtCralbc7TbnIKAEYx1prPiNExgZzgdPyqYQ7c5OQSMVC4/cf7SfpWyaNo2sNfcF3hhx0J+vr2p6RuqbQPvthfYetSLExVBncSd2fbpUotypJUkHn6Z68/hUSkiZU21oKYUGNqkkDGcc1WjdpbwhzlEGauxEoSZMIenJ6U2UQbiY8lm6sOBUcy2Moxm1YSYljhSAx/QVBe3cORGjKkSjG0nljipGjHJYOfXJqWCCF0ysSf981EZRTN4YWTV2QJEAq7f8AWsu4/wCyO1NMWFA3ufXnPerQhWMnEQOeThtvT36U1XRyEZDET0Djr9D0NW5dUZODW5EjsnKtwOvoamdi6B2GM8k9RSSRFWzzjPXsKW1O2Qo5O2QHIHI9qXMmrmUk0QYBGGX5SDx1+hFQSqfLyDkg4NWZhtZlYsCPl+UcColUM4Rtx3AqcL71SlZ6gtVcaoLREjOVAqvKf3LgcgjpVu0GzIKksOMkU1xtJG7LE1pF2di3O61KyQMcBO4yc+tTxxs3yNwc8+1JKWSVcHj2NPkLjBxyKHqRsOO6Mlc5jPH1qOSAbGkDcjkCkE6yqFOQw55qJJTvIc8d/pTjF9DWLS1YwEyA4GD2HrT4YTJKpX+E5OR09qlMLECVR16L6CrMBjVdiEFifmI5yfem5WWg7c2w2aQbzj8KqyFp2QEnJzj86LnMd04blUOBz19KW3dd2SN2FIP8zUcttRSk7NFiKPaiZ2jehzuGT19qkLbYzgDovRMU5biOJIisa7ghHSq73ErgDoehHtUJSb1MGirckm5kDsRz3FQSkqox6Vb2M7Fmbcx6nHWlhtlkU7lII7k9a05zeEdLE8AMlmjsfnA6k9arxsXZgp5YcirMZHlsudoxioYoyrgnoOtTHqy6kuiJE4TDDDNwD71K4wiRSAK453r0NCgFmm6qvVfWmK3mMWBwD1B7e1J6nLNsfKziJnf5lUYJBxnPvVO1OGaPdnMYxk88ev51LdMVRYQcD7ze3pVZVZGLoC0h9RwB9ai7SNqMY394s/u15A3Y6mkaUthc/L3pBPG+Ek+TbwPSkcImCGG3qfetObqXKPYCeCS3C8g0hAkQt1Qn8qcssUjKVOEHUGmm9tbYsi/Pu9OmahzYlG7sSsMxl2ABA6eopjyxeTECrHoeKpWmoTXdw9tJFtK8oRVggIiLxlX/AJ1Cm07M0lTSV7k0bR+a+1QpwMlvSrRQZy2M9RwaqmU5YEgZHdfapRIMZJGcZPP9PwrS5jKIM5TlWbHrjIqruzMZMHHHH86llOemfXKn+lQMMBQp53A89aJSS0fUIJskaNcEq3ArLuommYje4X2/xrVjIlx1C+gouYQI8j8hXPI9OkubQyrGwjjDOqnrgDNXSojXYoBY8AA/dz3qO3mUgp0YGhcmbapwTyW9AKfPd3JlBx0JlUb2brtOAff3qVYz1P3ehao5GjiiyMhR+tRYaUB5S3qF9PrQ6iMVSb1JBOIwFjZHUAAbugpJMTrtkLHr93/CpEt9+ADkdQasfZPLXoaxqVZrU6IUYbIgDLlQCMgYA6Gl77eOmST0FJMildrAEGqDuyMYnZivUd81UJqXqc9Sg4u6Lu8StwwGcH7vT6VXlljQkxnJf7imoPNZmzkgk4AB/OmpjazZOOecdO1XzJ6WMVo7sSJJZnDZxjl3YdKkkQqV8tgQRnJpr/ONqqdq8fMePyoV9qlA2QOScYzWbbZalrdkDrKVzuxtGR2zUbB1yMA4G7DL+dW2QvwTgDHA9PpSbRjBHAOD3GMfpQ0+hXO5blMqz5VmdRj+E5B+tSRxwmJSYlDKyqCvQepP5VM6AA4BGR271EXdGYqMEHjA9vX604u+jIs73TJjuXBGD6ehqaJsIQ3LHqf6VSNwwJyvAbkr/hSi5V1wGA45ppHSqmhcllLNsi49x2pY7BJiDNmQ/wC0c4/CoYZo4U5xk96sRXQJynHrWUt9TSPvrTQ04bNVXAGAOw4qvPbbCSp4PBHpx/jirMV0AgTNNuXBjJ46cjNZyXU2jHk0MZlAlUdQRuHHdeD/AFqNWYxsU6sMFj2B9KR3NxdOF4CryfTcef5UruAFRRhEGFH9a0hK5hU91jpFQosQHH6mpQSp3HqTj6CqyTNu5G0dgOtStOp6YzjHPrVTnZWOdQ1uOMhdwzdCcn8TTUbMaEnBOSfxqCSQMGAAUEYJqAyy8yFCMfdBFY+0Now0JjIoxuOBjJ/w/So2dwgjQL5jD+I9Kgyzyb3YHHQDt0qZJlVsDaCevy5P601K4N2JYbdoxguO24heTUu9kH7tlUf7K80xpN2D26de9OQFiN3U9DWl5W0ZF09yeJ5MZDjHsuanUNIyl9r56Y/pUaJhQR6cDFTxhVzkEHsKl87WppHlJ44SSG7ewqc4iHPIPrUC3BWM/wB7+dQvdArg8EHkH3qeTl1N7u9mWfMWOUENlTzgelRIxdFOG4Q5IXPJNRxsMHnhQc/TP+FDuxw45JjOc+vak31HZJ6ErSYA/eoDnoyGlm3CLzAyNtPO307cVBcHchZccN/C2cD6daWCWMAqTwepqbt7Gcmkhrs8gyvX371Er5BVxz3BqZ5BEG4zjqPWqc8i+bHIn97n6Yz/ACp8rZzTmn0M+/wgyCQSeMVlzGSXGWQqOeF25PvWheKZWB7KMfjVDY8Sl++Ris3c0jGI5ANgDjKE4z6Gnh47dC7/ADp0IHUGhYS8z7eFduPY9qiYRzzlCdiA4Lds+tJRvuU0mODySpvmIKlsBT1UdsGpDMw6fN71TmeRrjAKMgOdynkjGOfWplk2KBnHFaRg0gjyp7HcpdyoWjkG11OGHvT5Ls7etQtEW+dpBuxy3+etQsFzguW9kXB/U4r1Y2aPPcUiW2k33S56A8n0oncySEJySajBIAVVEY9+v40qPGnRmXPG5hkCqvZg+5J/qlCR8uerVCcrtkZsNnqO/wCFWViMaszAAjlcHv7VVkJ8wkjLY/rRzkatjoztGF3KCzsNp7Z9DU0cqo2SJHPuMVHEMyHrk9Sw5x6VOIW4I5A7/wCetK6lubQg2OMrzFUAKLnO2pUjKxgYz7Ypjf6onbyvzbT/AEpzzgHjkHlT6VlO/Q1VMasYMik4I6gHp/8AWqbdhfmQlj0HTFReajDGdofIAxkc+1IriSRlGCAeNnIrJ1NbMTp9S5HmRM5JIPQjDA0ptlKeY5+VehXg5o80rGHZNzjpzj86fbOs+55+GAG3H3fxFTKotkwjSb1Iz5zkEBVB68c0+GBFk55Vu5q15THkY5GaZJGCh5+UHHI71Km72CTurW0Kt8EjAVV574qtGm8ehzV4W+5ec9OM042oCnHHHFN1HdIqFJJa7kMXyr8wGfWkkUrlgM56AU9l2EqTyeneo2d7fnhgf0raLT1RnKDvrsNS4CyCILn69qdKI41O4ls9M9qry4UfugXY8kdSKasx2BmJ44IrRrqjNwS2Hea6qJm+baMCkYqR56A7u+BxUSndLti2kOpGGPfFJbzmLIIGQcECpbsx8t9VuSidXZSRjjp6U2VB5uV+4wB496rXTDerrnZ1p6yHJGMs3AxQ5W1RUbbMuxssY/eHG3IzjtTjdAnEIOf7xXP6VVVGLfOxHPQ8VejiEbA44rOVRGkaberI1iLNkgFvXFPWFhzir6QgkKB1HFDADK+4x9D1/lWEp2NoxuQLa8FSOO/tUscKp90HmraJhMYBPsKPIMhGOPr1rPn7FWezZRkjcrwPyqPylljZMDOeKuzRbF6dqoglJCpON/Ge9bUp9DCpS7EGCUTcTgZwPXmnRRM1yp6AkkkA4xVooFQsPlUDr0pgPlQPKcbtoVccZrdyutDllCzK1wDNJIwDEO2R81QGHDISrDL/AN72/wAaveVtCKeMKcnpRLGoMWGJPuOc1SaMoprYoRcCTyzyQenHf16UEBGwvOCatbDDEVT/AFj8M3oPT3qPZhfLj4Y9Per5htXIiTJMmQACfTHFDDzLkcfLmp2XzEWLGXHQ+tOMiQRmIjMw6e1JyE49EQXqW6SgBcsByRUJ08Tr58TEMvOOxpTGzDcxwTVi2m8qFwRnimm4q6YXd9CnHIwDIeMjmoMeTPlThW++Ae1OWRjNu/yalkWN1UZLZPQdK1TLvyu6EnYTHcNoGQfoBVdCwAVAW5PtmrQhQkGZyf8AYHHvUrOAAI4wBx3H4/pS5rLQJSu9RsFtJJjzDj2FWPsqIpOCTjNUWnlDDqD0H4mnR3zj5WXIOP8A9VQ1JkPyJdjRMCe/X/61KSpkACgqfTtSvdozI3R24CntQIzHKyg4ZxxmhDTYyVAZBh/bI6U5V8ubYTnPSorW2lCyqT8yZNOt3LxkuPmzyDVD1Ys2VAELdDlj60RSLKysABj7wHemlGjnMRzsPRvSj7O8biRBn+8P7wqJVIrdjVJy0aFnXc+SMs+SfamxsAPdiOe+Mdh0NWNhdShDA464weaqy21whJWPcONoAwOB6Vzzqx7m1OjNaNFW4jD8jAY/hTLNFFwDOS8fQDPGasG3lY4CsOxDdTTDbyLgNGVHbAyB+NSqy7nQ6La1RFqMifa2iiQRxEZGO9V1QLGeOfU1YRfN2l+w59qbNOqApgfSiVW2xChbQLW5UbiikSAY6dqXzfMi3g5yapwEJdrIclWyCPT3qeF0ML7gxUSH7pwe9Pmsr9AnTslJlxXZnwr43dvrUiyPszlTlcnBAqn5kIHEXTn5m3UpZMcIP7mRzj/OaFUTM9Gy2X/ebSGDEbiCe3QexprYbOT15qBHAZsPgMRwvHSnsZckCT/vpQf/ANdV7RLcfL2GiUxu2fvA/jUn21XXBxVSOQTyyI6K2wA71OAx+nbpUc8EYJ2syMBzzkDnH1pOS6G1KTi9SvKxW63ocZqdZfmZuBk9faqbxupJY7l9R/nimCBZuXkdge2cCs5KV720NqlWLNJX89gcjA6Lmpx94DJx3rNj0u2LAtG2R0IPIq7bMdjBpN/ltjJ6+2alxvrEyVVLc1oGXHyqAfSrTMu3BOTn86zYmwcDPHPB9sVY8wICuSAOp9hTT01KjPXQS5CsPlA9+ay7lN3zcY2jqParjyFmII5K4/Ln+VRSKGXp+JqeVp3ia8y5bMzM45y4HT1NMFxGxCCQcdjwaWc+UCFPFUs+aSrDcPcdK6IzXU5ZU76mokm5ScgKO5HWpEKOuFdGHcD/AArKig/vFgB0AOQPwqG5higKlizTN93YcEVMuV63sYbOyNx2AU4wCORikSdHJBHLY4rOSWVVxKwO0nJ74xxUvktINzHYB8xPp6VK00YJ9UWvMABUYz3zTGU7sjGM9RURkDSbl4QHGO5p7zrFweFAxVeprdJWQwkqcFsNtO0DnJpsiRhN82MYA4HJpoLFvOk4IPSiFRcXBklyIk+4vrUSnJ7C5V1EtLCCVpXlE0SKuciUnJ9MGpYQbZQpO5SPvCrBwVAI4bsKYyEEZOOMk9gP61opXXLLUukne+xNDdBDg96beXwZQqnr2qm0T9sbTyPU/hUttBGjGRwGfHGe1ZTpu/kdspRjESLKrgAZJyfemzK5+ntVh0RfmzzwfrUTcEKcdQKHFWON1JXZTOeCCQc9/wDGguQOQQR1qcrkdRyM/Q5/wqPyg85Y8YGFA7D1NRruZOorgJo9ozxStcJjaMelJsifdvAFUbgxIxCqormnUszpjT03JXcZOOh6ioxMu4jeGP8AEP8AGs1XS5dxGn7tDhnPTPoKvWmFikj2jbhTk9QT15+lJVLO1jOSXctC4Cggkjgc5qWO7w3J5PvUEdt9pB8o56cA0G0/eBAWDnk4PAFdkKqa1Ri1rozTjv1zg+/HpVyK4UjrxxXOlSp4O4c4OP6U9boxjB4Iq3ddDppxi1qzaN0EkZc8Dp9KryzCRwQOTxj3zWYs7yt0OO59aswjccseBxU2ZrzRWxbE5CsR91nVRnuAMf0qzlpBlmySQTj+VUXwdoHXICgVJvMbHnis3HXQbqq2palkLck8jtUBkO1u+0ZH0zgioXuBzk496b9oXn14X8+v61XKraHO5NsseYZGKk8AfMT6dKjY56AjuSe34UgZBgMcBmLE+wPFDLvVSn7zcTj+efyxSaaVxNJvUrucAMQSucKFPU/zFNliEiDau4g/MoPI+tT4G4kMGdRyfSq08ZfLdvX1pcqkNNkMrj5reFxubgNUEjeXa+TIpRj1z3qVvlQKgGf72Mn8KgCnoHOfYH+XarVNRFJ3K8UA3Da+1u2e9WZNOuZSCIyMDHB4p6xgcvHhT3HAq/Es/ljy2bb25rCrJxegqTludEnlqNnmYYcYNKUPGcHcelTJExYjCtk9CKeiADCrsYjJJOa9Dnv1FZdEVdpwATnaMfXmkEQ5LD2q40YKhR0/nQyhnwMYVRk+ppSnoTypsigz9nZSfutkD6imOg5J+XPepUAEmPUjJ9BTkjjZznJPbJqFJj5IxepTPHCsfYA/rUkd0Uwp6+/FJMQspKgAjpx1FVGZcE5x/StVK6NY2W5bN0HlAHfj86i89VQB+nb1FVW2qvOcHAznnJoV8TMWIOw4AxjmolMq6J8NJg4aIZzu/ixWlY20VqgjgXapIJyck1mGcOc56/jVqC8Ct14FS/MSvPRmwIgU25z3qWC3ZTwODVJrtRAGB5zj86uJd7YGY9xxXPKKV7G8HKJLHHlSQoKkZwRxT2hByQxX2PIojnXywG4OO9Ss6mMn61k25LVh7O7vYrmCVBkSKf8AgHFHmyR485Bt/vL0/H0qRZ9wC9x3qOeQRsD1jbhhWkdES4u9mMnVXUlQG/vf/WqonRlJ3cHax61NvEUuwN8uMg+1VpXAlLDKqpzjvWsXbVGckkrMrvIuPR0OCRxmo9wJkUEcjcAfXvTLnB8yZQSpGM+4pgAE8RYqFbg854Nbyn1ObR6CpIBLE3kofmHSosGGacBVQBuOeuRUMu0YjiLsdxQPnA4705WjWKRvKdpZGBDE8gY64/DtUylppuOnBt67FhI3mTDFVA4BPf2Ap6hVZRGzg45JOc1TV3UZJOQcdO4pjXASMtuAZOh6VnZ2uzpUYpmzBsDGJsO2MZqzG/lwqrfM2/ArHtJgieaWBJ9OauW8UrzLPO4UKSVQD17msm3exo3FRv0NlGKgHPCDk1LFET5Uj9yzHt1GB/Kq8YLYTtycdKtFs48wsoXoAOtZSTvqEHdaFkfvWPBz3b04qXIA2gEYHNVjKVRSjjZ34yamLlVB5K/qfwppjcCKbaw4BJHXHNZ91CHiOOCOhq9K4Kn5jn8jVSbcyHGWPp3p3sydkRxt5tsjsSPlycf59qhjBmlQ42wpk5J5Y+tJkGBIdw29HP49KnAIXgDA7ccV2HFVkm7IkZAcN2zx70xFAlaZzjbyopTIA4Xh2xkYGAKjaQOT/dXgmhJmPoMxwzk8k5pqofKWQDEpbgYpceaPKX73Un0FTzYASNOrjAYdqfNqNwsrdStLhU2xt+//AIsdqh8sthyP3metWxEWkJVcuB8xpVif59ozx+VO/cm3RFeSHCjJXPoBSOvlRbVK5xnkVakt8qm88nqKgnSPcw5OMCqUriUSpbwhm5HQdhj9aR2djtjTavt1P1qxbiNYpWG77uPzqIIPLBycdlHU/jWid7lco4wMkCE4wRzjk/56Uwxk5/d9z2zU0nlqscfAwOSOTSukaTNnORn+L2pc1lqEo2dokIjY5wMj6fhTGhAXJTAqeKZEOC3Tjn6VHc3i+SyE5wcg9TiuWrjYUzajhJ1JWasI1rG6KzL071I1uRMkwJZAOfaoY7iQQ5P7tcDlhk/lUUl2jkpuaR+gGcV51TNpPSJ6NPLF9pl8FFdm3tk9eMfrTGliBwQoP+0cE1nQXhF0IijM2M4boKdNKDch2kXPTHUVxzxtebtc7YYOnDdF77UrkhUTPrnNN88Mo3MQOmM4qncTrFCGgYyYPTHGahWdJR59w+yQdj1NY+0nLW50RoxS2NEuRxKRGM4G405ZGjOJGCc4XJ61lJeRXKmSUgGP7oPU037WL9QrkRFOiN0NL3+rK5V0Nz7ZtB8xeB69/pSmSJsFW+90xxWG2pLMds5yIvur2FS2l8kJd7hFUOMAv0H4ULm5rIThHlvY1Ght5chgrkd8YP51Sk0a3lYskrKxOSDz+tKl6jxoySggHggnBFaDXlu6g4RfcHP/AOqto4ucJcqZjUwsbc1tzEuNOMQZQA3uKzS/2RXEn3XYfnmusmiMkKTQk+YDgr2YVl3+lLfoUKCNwQwweCa7aeLU1aTOTEYXmV4mSykFh7HGD1pjMSWCscj5t3cEeta6aRLDbIJSrTAk7Qe1Qpos7tmQbVHRa6Y1YW3PPhh5Jc0tLFWKJ50aZ2SO3H8e7P5CoZbqUwCNWO4kpv8AVe1P1O2kE0dtECIxyxArOS4MdxtlG6I+nUHsf51okmue47ctodfyL5kCfuouAo2/U+tVpy3AU9TyT396jaTy2wjhwBk+tRmc7Q5ByefStaaitTKTktx4bY+4k5YnJz15/Kn/AGoMqksgYgY3D9M1SaTJGOuMceuaGHloWzgD5Rx19a2lNWsZ26mxDchnyoKjeQAfT1Bplw3lXxRGz5sRDY9RyD+lUogRDEnQKvPB65psyv8AbIiDkYycHH4VzQvzbhJpM3NPuvtFmkh4OMH3IqW4nGOpAAwBWJZTmMSoBtAYkAdBz0q5GxnJY9+B7D1pPVux0wioLmZdQkqGbhnBY+wPGPypsrqBzkfXiopJ0I46AgDPp61TluDKdoPJreGiKjrqx8m1hwayZm+yXKuR+6Jw49M8ZqebzoW3bgy98HkfhVS4bz0ZcdSD9cHJqXZsJ3UfIuNPtzj3HHrToYfmM8g3St90f3RVRVKrGG5x8zfX/OKtJMwyVHPqahpXOOUm9iUrubew3HPHvTvMeUbmPOeF9ahW7ifEGCHHU02TcG3A/Of0HrTTsJWHm4VG8o/fIyWx09qBHx++z5X6mkSPKpPKBycL7mozcO0jA/cHY0Nt6Gl1a6LDF5GVV5/ugURSB7zy0wI4lx+JqOOUwlXX77cL7e9LbKFLccsxJ+tCXUTb2NBWwCADk/Lnuac7oM7ud3HHGRUKOByeSemKRiMlmOffqfwpK5rGSSDKu4J4xwM9PSopGEbZSUHPY+vtSnPQnA+n86hdIyuFGfc9T+FJqS16D5kDXOeD05p6Tbhlj71QkVV+bbgYySvX/wCvTRvVsbxj+8TQpR6mE+YtNOVIC8u33QPXpR5ojLfNk4xn6VXBCMNgZmPc8UkkPyjeoJ7KKipOK0IipXuRTXLE4UFifSqbpNMSM7B/E2c4FWnUoeMAnHQ4wKg3HI25UgcnsP8APNc0rLVm0q02uVEkEaJGqRriIZwP7xFS8gsB+JqOMjaGOMgA8dDk8/jVoxnOwAsxOeKwvedxw0Qlu7JKCjbeMFh6VcRx5bKCC8mNx/pVMx7HUbup5pwLfMRz0OK7qWurI0TJcYIGDg8jjOOMUsuSvMYPuDn/AOvVf7SMEErwerdqDcBRhCGkPTHNdSm0ikrj1K8Y/l0qxHIgAUByfRVzVdXcuVl4GPlOBgn3q3AVkjVwAM8eoFYSqp9ROTWw+JxGSwXDdNx7f4UrDjGO1N3ADdkgdj1z7f8A66T5NvzKVz2B/pUKokyrOWpDKpwfr+dMZGX7w+Y87c1ZES7tuHDEZ3BycfgeKeixR58oFn9WHIrRSvqTz20IW3JkFyrkBcg4xxjjtUsUiserAMdqswqJ12twCpJyW9frTldUbczsSOijn9f8a0TuaRVycMfLEYHTrUbrnJbO4jp2FCMY4y7cEkY/GkWcPnPBAzn8cVk0k7C5tNCmQzkjr+tSRW7MfvE49+n4VYdkKFhGFPqp/pUCT5fYxIY5wfencylJtBJiFh5cqZPUDr+INO3SHruX2FVZh5koWQDd6kcGroiSNQp3Hj+9msp76GtK9jqI3MTMkoYSDACDnpUrCYkOVQnOcB8EZqqtyoy/cmrUMiumecVo1fY2pwcVqNy7fecxj024P50gIVSFIX0z3/GkmkC9D8pqs0vzgg/KTj8aLtK4+VN6izMSp5YHHC4zn8aaJt+XQjA9D7UxpSsoOCQOfyqpICFWWFgrkcq3eqi3e6M21syWabKDPXsapO5YEFuO9NluPlJdHj9crkfmKqNcqzgRgyN2A5q9Xsirx3LU0pkjZR1dsqPoc1KzMzEggk8lc4OfaqseYsvIcysMAf3RSGXr0zRaxlKp2LHnBWPy/MMHGKlV95yD0JGfxqsZN+5S/ogJ/wAakkxG4ULtjHTnr75p3b3BTtsXYJXeVSc7EOQPU1rQzLIygnCoOaxY5hGoZ1Cr1wOpqxFISA7NjvtqXFG0JuW5ttIWXd0PalWUlQA+RjnJrLm1BUh559AO9SWUjCPLn5m5I9PasZQSZ1XcYmqJtoy3HXmopJg8Ukeeq/L/ADFV5pgi7uCO49azDcMUhRW5MhjznqB0/Sp9DO91dmhHO0sMPbeTk+3FOdgZOPujjOarB1jKjAAXAA9u9MkuFI4JChc++egraETlq1NbobNIr2ZTOSXwo/X+VQSlVEarkY5IXrgUiMqkORz146+lIZfuKMbj1NaPTQwgru7IVYRou/gqDn5uScc/0py4IjXBCsw/2eByePw7U0phNy/M5zye2aZhYVViUJA5J5NFup1xfYkMuWARlZixOA5z1zUcjMbUpuCGVx9/ghQfQ0yWU7SzyYRTwH5U8etOj852jRYzFGCqiST5lOBz+FNyuhSdjZVg0gGxSFKqCAM47/pV2GU/KcNnj+H3qhFv3HEycnOUHHTFaVsLpxhLhXQZyCcfpXNeT1QWS0LkcjZAyFzwcLgjnuKuqTt/dnKA4GRz0qjHOHGyRWYH9KtCMBd2NyHgZ4IqHrqzeMeUlCxE5GVcj+7UcTtGzAtkq2PTg9KR2aHayOWjJwQ3VT2qNpi9yyqCSYlPTpz/AIE1DRuWJGyOcY9G/wAe1Z80nlxSq2cKuUJ7dsZq8xA6fpVK446Ej1IOKalqrnPJ3ukQtJ5EaR5xtXn3Peo/tAAUPISN3Q1QvJimcv8AU4qmt0HOdwIyeQa7YtXuefOElubXnbyWPVhnGDk5+lTpIoxljhRnnHymsdJlA5GRnnPTp/n86sRTefIc/wCrXAxnqfStnZmcZW0NKFjJmQDbk/f9RSowDyTngD7oNV3n3cdhwB6UQn7S+3cREp5PZvap5e5TkX4snaE4Z+p9qJnjTcocgnPSoHueTtwFAwAKYxPlqvQk/WoirsmWhLHIAyjzF4I6+9MkmJBYFWJI6CoWk2PwQcHsM9OKr/aSV2kDHBI9a05eouW6J5rkJBtIBOOoFRc5ijbIJ+Z/YelQuVVt7EMx6D+6BQkwM24ngdfrUzqxpq7NadKVTSJYndVJ+XpgDFQXF1MzSMqKqs3y7jgkZ9KqT3qLuY8nJIGelUpbiTyC/llW3L/OvHxGLlN2iexhsHGmrzLbbtz75emSAo68/wCFRm6SPKoBnGMk5JqsC3ms0xZVyRz6VDJIkG6TBYE/LmuByUnZvU9NQcY8yWhbluQXLO5655PTj9KfbzC3SSYKDuA5PP4//qrGS6a4nVDwWOAemPxq5ff8ebIDkAjjbk+lRUSsojhfVkhvllkI3EE8ZB4/xFVrt/sg+dtu/n1OPrVC2k8qQSdCB8vHNWZZFnUo67unX1/pVuysKN9fMs2WpRom5xj+4C361FJG11MblXxGeTmsyeIxuTncG6kfwj0NOa4dtqA/4AVDgk3KO7NIyvZMt+YLmcBsRhD94GmXF08zSRhwY1HLqOcVG5EcR2KC3qaqI3yld6D5A3P6UU5qTuKrBx0ZZFwx2om3y19+SfpU6yveROjjdGeCTxiswMrcsxYcnkZH5jpV1HbyYl6JjOM8c1FRtJOO5VCMZTaltY0BdxWdpHFGNoUYAHf8KrW+t7JjIm1ieC2cD/P1rM1mVkWBeAhQnNZDXRwp35wOMf4/41rQhyrme7IrT5vcWyPQ5NaljgWUHqOMYwPyqe11Y3Q6rIRztbvXNaLcLPZvBONyHIJPWr1lYx2cvmLJnHQZrngk5y6G03BQWh2USKYlkyy7hkI3b8acRKoIDAg9RWFJrAsyvmN8p9a3Yz9pgR4nxkZ4roVmrp2OOULblKfybpvs8ybWbjclc9qOkPYGTaxkjPQkdK7BLdGZXkCF1PDjtRPbpcKY5VHIwa6cPXlBpS2OLE0oy/ho89SDy4lc5Bxg81BLJvOACFFXtRiaO6aJeVHT6VnPnzMLyp4r2ObS55Di72Ysat5m9OQBnd2HqPrQpMsg2AsO4z2pvJzCDhAcgjuaADICgG2QngCqWu5nKRoQBTA82CqdlJ9KpQSme+LH7qLjFWbyQp5UC87V5IqIRCNMxr856mslLmbRUI8vvMmlKhRGn+8fenRS4QgnAHT3qo5Jb5PvYpVfzSIjwBzmui1tbGsHfqXifMXexwnqf5UeYADtAVB+f41AJdzbWw0AHX3pyHcgGCyM3r3oTCeiI5JMEIFHXkn6VCkSRqXdhv6YYcY9atMNoG4L24J644qlIWPy8AYGccE4pvlRi231Jn2kSYj+dRgANkH3qF8qzFGONvHcCmLIyv6qOoPUVaeLZBGW7gsB7E8VnbTYRB8wVAWLPtBI9PxpVuGjJyCV6HPWnsN2ct9SR0puDtxvwp6Z59jUpPoLR7kouAdvBdV5w3GKUCKc4U7ADkq3VvpURiZn2KAzdsenrTlVc7cfuwfnb3ocrLUFG2wsYIuJpslQiZAbtT4mcDaVGeAcHNNMhnsi8nzgttBIyAKRNm1iqEDOSVqlexfTUvguB02nBx7Ck3kqSp2Jjqe/0qMABBwd3ZQcn8ajJ3EkgOx4UZwFFWrCiSMT0L4X8/1qB3bjdlu/J6f54pGC/MRGnuyjJqIsS3B49uRT30NOXqO2hz1znAI/WkEeUXkiRsA5Hy8daUAb9pXk/wAqUtkjJ6Ar6YrmnGxPMGEXnLR/7Scg/UUfMU7YH8Q704YZNykEeoqENj5h91egzwa5Jruyk3pZCEcen9aqyOO2cjPPQ1JM8j/MSNvotVyNxGc8dq53JvQpRVrkkDlnTHLMdvTB/wADV/twevy9ccDiqNuGTzJeuxcA98k/4VJuYKAAAQOMMc1UN9SZFlcYZ+MjgZ5pZ1xtKtg46etRpcIx2v8AIxbjPQ8UoJJxjPfHYV1wMXLUiYTOwKRoW/vdxU6J5SlnYmQ85NPRSqEk5ctnjgKKkic7t8pD4rSVRJWJcpPRLQrPhGDEAntnv9RSwuUjA5A3EAg8evNRtKJpZXxhB2pUHzJg7Tt6+5PArjlKzudEbctix5vIccn+Er/WnBgB5jNuI5NRJhB5gBV/Y9KZM7PyeB7cVrBq1ylCyJlnZpCynJPFOXflgr4A5ZqzkLFtoOF7mtFWDxrGvTqRnrV89noZTj3JBOjx7Sdr9AccN+H0qLftbPlflyKUblkx5Yx6095ZlXcrH6CtVNLYhSmtxGWSQbn2r6BjioT8mVYYBBHBBHIpkk5kBG4bh1DCqMrlclAAevB4NTKTRS1LjXHKuD6Aj60jrvAkTsefaqIlDHIPBDED3H/16tRy7X+U/eXj69f8aanctU7ao0hLtSNlAJYc7hnn2qCUSuwaOAMCM5D4pIjnj+HuP/rVOJtgwRmhytsh04SvoX1YmTB+6DWpDcx7NuQO1Y91MrMWXCsTjiqi3bLkHqK6L6HYrfaNe4ugGdQcijzMbCCAGOeffpWIsjzyYycHqfQVbuLgcY6DGB7DikldamNZ66Gm0vP8OMVns+VjO3ocHmqsl0duQec8Ux5SoRe4OTSWhjy3J3JVWKnvxioXvNmEQBQw/hHWo2kLLJ8yg+9VJmAOdwOM8KOvStYu5m30JzPuXd2PHFHnnIxjcSSqKOnaqilMkEsNg4RTkdcdaUMQTxjPvzirlB7i2LquwwNvQg4ByeB6D606O4EaFS7jB+UjtVeNVAAZNmeRtNSsRsVi53BsZAyTWLVieYsK43nL7yDzgfzFTqznJ3YA6k9vqazkUeY5Q5Z+T2OalZiY9ueCOR/jSvbc3hOyuWRNucueQvTH860LW7HXIxWKXxtIwoxt6dR2oNwQQQe1DiawqczvI2Ly+AQgHmq9rLudCTxHk/8AAjWVJPubnmpBciKLkjPrWbi0rmspqXuo25btdysex5FQrOpCg4J+8c/pWEL0SvtDd/wqdJWP3cN754oTfY5pKPc1Hmzn5Aem3PahfKH+sc4xj6nvmqaC4Zf4ffvUhGOHbb9OK05pBGC3LX2hUULsUj/ez+VRG4Lcr/CfusM4+lRKhztyVdTsb0J7cVIsW08YH0pat6spzitEPiie4beZD/wHip2je2XO4kDsT0qFWa2ffGCV/iqY3auwyPlNLlaKi76s0IGRo/MQ545GatRlJlUR4Q9ePWsS1cwTNETlc/oauae5ZCASQJGTP0pSTa8zeCinc3IWIwsy89mFWYrhopXjkOQQCD7GqsTAoB1A7elR3TbFWUHhflb6H/69c77mykm7Fy5mPlAKeWdQPzBpzkJcM4JzjAz7VnrJukjyc4XcR7mpXkJXB7cipVxTdtC4Zsrt/wA9Kyr2dt+EzgUr3TIT3IYDOKrTOHxg9epqo6sS93VlOX94WaTlR2NZNy6+YXj+Vh3q5dzbm2IeQccVnSjaNxBJPQV2qyRxzlzsu2t6Z48AfvAdrD37VoxzeWoVeQDyfU1ziK9q/mr80hADheMqO31FW0uxInDfL7URkloc0oe9dG3E5kDTOxCDjHr/AFq5BcbLQhcAE44PH5ViLMGCRKcKODg1aedRIihm2jrmteZPQTuzQ8wmdUHAUEkntmppbuOPbjkhSQP61jSXm6ciM1JE7NubknsTTcla5coWfmW3aWYkFguc++BRsjVmy7dOpPNRhnUg5JPB+tE8j+Xjb1XHJ9K4MRjOXRHbhcJ7TWRI01qEAK5/M1VmdG4eRlUclVGKqNcny1O5RjuKiMyStmV2BHQ+teRVqyluz2KOHpR+FFj7VaxqdkYY9Bmq82om7Zo1Ty9p3ZA61mzShgUK7Ezywqs0zFQp+RR91getZRityppNuxZkupd+Js/7vU/WlnuC0QWTODgqB2qskrZKg4P8T+1OMJn4AA757mk4XaextCpyxate5FA/+kDbyFOeK2lO9dyqVB5x/jWUJY4FxGPmAzk0231LZMDKxOeAKc48yJjLlY+9hkjmMg+ZGIwfSq6SyfQHrge1bj7ZIfnGF649KpybGk2xRDnuax57blaMrCQxpubsQSPWo1jdkaY4HJ49Km8qJZGWd1VsZ2imPvYFQ6BSSTnvkVTbegKSTuVnkkc7QCTinxrKsw3IoyB1PpUyxkNw2BnnAx2zQXSBUYRozhSCT69f55ppKKsTOq5vUiijllaMYC7lXnfjqa05bdPMVgA+wAYXoT61kB3kILjIHTA5HettNzxRmMAlsEsewFU47NGalYwdfjkkjikkJLLngdAK5+NZJJFVVYnIHHavQJIVvEO9Rl+T9OlZ6aEsLl1A69Pw/wAaUp8isVG0nqLYwmzt9i4UnkmqF7qhgl2B8D64P+ea1TBMsXG4L7Cub1nTJZZzPEpZuhCnkUqC6vYqpLotzcgv01KzMEhDkDg/xCuu8PalGdLhhuWDMhKhieT+NeXW8zWBTc+JM/XFb9jqiGKRRg7jnaPWiquV6bMqMfax5eqPTN8cv+ok3N/dPXFRnzHGwNx0PtXJWesRrzE5jYDkP6HsK6SK7WRc8jnhe5x1+tUm4nG4xls/8ypfaH9pJeGT5yMYP+Nczd6XcWfmeZEfm4DAZAFdqJxgD5TwR096kYrKuJGB+nNdlLFyjozkq4Lm1R5w8eEVQDx047VJGCkInIHPyoc9q6jUdGifLRHax7djWDc2dxHHHF5LBE43djXoxrKcbI82WHnGXvLQqSk71Ynlh61ag5UAHrxUNxGVkiXvt9KlXgck5FVC99CahUkBilbZyAcZNRElf3cWcvy2e1STv87D+EcmmKzoSwUByDuOP0rdSuRFtajlfKlIz8mcAe9W4yFcbCAFy3tmqMeIlCKfkHJz1qaNtyYI64YipvY0epYZ1cE428AetVnAJIHueDkCptryNkKzNnOMd6elnO/HlSHGO1Dmu4KDKsMSvISxxEh5PdqnW4+0TFyP3fCgZxgVY/sy6Yfcx7E4oTSbuMgBExxkZ5/wpKpHuOVGTWxEYD03hMA7t3H8utRtKqljFgM3Vm7fQGrM8E0MRDRMpOSSRxk+9Z7ozsQfue/pVRUb3M4023qEk8kYaMKheQBWJGD+dTSRJDG0S8HO5hnIHtT47R0i+0SZ3Ow2Ke3v+lSrayZZuDuJJycUq0k9EXKH8qID8tnGAG+8TkHGf6Go9w28nIHXJP5e1X3s3eFgAQ3B2t9fas+ZHhPzKw68HvUptoxuTGQrl887cjIyf0oJIYj7uMKM9RgdahQMkWCuZDjJPRRUqxR913uf4m559vShNlp2Dlz8jBiOn/6qjJyBIDg52vx3qd9qoSOdhBHrVdyD5mCAGYAEDvWqDn1HnLMucYDEDjoKYrnZvHynrmpGGSSOeoUVBKdpMS88YNRKz06iadhEDNGiq23d8zY702XqVUYUdvSojKUgkbspwP6VKCWgBOFY9RXDXinqaQ5loRIGffKchV6e9OGH/uj0HQUj3EdxEI1GzacH3pFhMkmxDwOprgblF2OlRjU30ZZii2xFCQdzbjhgaVoznpyc0iRNEyh8YPrWnbwA4zzjjHWjmchukoPuZgjdfmPHv+FNJx1B6Z4OP5VrSxgJ05xjk96y7kqu7OPz9K0hKV7CdJSV7DonDcDJ+pzn6GiVjtxk5AxkfmKy2u2jlWTrtYH8DwR+tXJplTdz93+lOcmnuYuPQVAPL5+6WH41OBuBZv4jj8O1ZyynfHF/dXpV6OUE5Y/KO9ZSqXeoRjbYer9FfIYjuOtNIMjELjao+ZuwphYTKWYfIc4Bpm4IixD7gAHrVKo2W42FkkAfC8KBx/jUsF0IhyPeqZJckg8uM/Rf/wBdOXYDlg23ooDctVKo7kytbUvx3Bkb5mxmpJGOM7/pziq8Ue7JCNHxkbuc/j3qSTBBQ5H15zW8ZPsYS5W9yrK4YEOobHTsR+IqhIz5Ij5znmRgPf8AGrW3ypCe3cHtVeZQz/JghucVq5X2HCNtyHcYyMEERgYx39atwg/d3hQCOGH41WTkYXAY8FWGc1bto1JJZCi+u4t/Oou7nR01NBIg0Y/fBRnJOM8e3pTWeNWIZhn60xZbfZhd7Nj6VNBJE0fKrkHHzAZq4TavcqOw2aZTK2WwCx6jK/8A1qrmTLkbyUTjOB+h64qu7sqZzgsKQyZYlRhgfmX+orri3bVGXPzbM0YpgOAD6/M3FKZTuLMSwPDewqgs6gE+YqgepwR+FTxuJVGMiNfzY1bl1Rm13JugDA7lHQ9qdjAMknAA4B61GRmQsAVYn7y8HmlMYBBZy3s3Gf6U9GZc0oip05PzNk1Wkh3Zbog9e9WOZCVbCn72TxinSBXAA5VR0B71SsiNTPARWAJOOM4HFPXeyqM7wwySeV4OKkYqDxGvHc5P/wBenfLICFHluRj1DVfON3JY9iLjYVPt0oO0q+BjA4/pUIIHDMwPfjIoZw48uPIBPzO3H4Vi5X9CklHctJh3YAAgHP4YpWyY/vBwuM7uoA9D3qNXAGF4HcVMQFt8n7uc/Wsle9kUtSNn2NtfjOMZ6EVXdscdOMYPH/66kaTcmGwfr0NQNDGwz86r6K3+NV7S2kjTl7EEtwI/vMo9s80kcUl1hpSY4u3q30qeOKCE7kiXPqeT+tS5BPXnpn/EU+a/QzlNrREoEKxiNIwkPG4Dr+dMyY+AR7Go2Y9gTj8s0BiG+RgW6cnrnikqndERpt6k0d08TYzx3qVrre2SOO4qkZUVsSHYR0D8fzoM0SYw6lj0UHrVpp6pmynK1rF5LlzKqAFm+Uk+w6GpR9oDfeJHcHr+B71UidYhgFVzjPb9atrchAWPK45osnqjOU3fQc00secksMcg+lNeb93n+MHmlLhwZMfJ2z2PpVY5TJBxuHf17ULTc1jNtbF+a4KzbI+ZWQYPofX8q1tNKRwpEDwM5PqT1NYMZOSQOCeuOatxXBR8AUNWOmHvaHQPOYyrA98HFPeXzreTdxlCB7nt+tZqzB4ipIyBmoPt/Rc8Diueqle6N+W6si8bsiQ8jPf9KRr4KuM9B/OsS6uws+c9RTFvVIzuCr61Oi2Od36m016rLuPTP5VUkvsKYoeZX6e3uazDfQEkDec9xxTo7mNc+WuM9ec5rSEL9DOVVJWLaqFVl5LHJJqq7hct+Zx6Uscpct78VFI+UGDx9en9a6G7aGSWmogbPHA9WY9aQQ790kRwoxkkfKx9u4NVy205JxzyfX8asQzBhlmbA6ZrNp7oTlYFeRGJDHI4w3b8RUiXmSwfhvepGC7ATwo4GO5qGW185Mrw3bFVGpZ2kNcsvUt6efMdmPOf0rZijwoBHX/GsXR1eDKyDnNbNzcCEDnBA/M1x4vEcr5EddCg+bmkF5OsYwozzjOe1Z3n7wVYn5Tzg9vao55WduuXIzj19qYzCOMMqYY8N7V5Mn33PYpu22xXkYgcZwDUMsmIcg4XvjkflTrl5I8Kck5xk8e9VfO9cjP5/wCcVVrobklLQZcS4VUGdvcZypqDJJwOv909KWVSkzr07gjvTd4H3eG9exrK/RGlluxzyBU2A5+vr9a09PXMQ8zLZ59/zrGySwVTgk9PWugiKRoAfkx6VUtFczi7syJmKXbjnOSOahT/AFoOM854qa/k33TOpVuMZFRQjdLj3x9KUXdXKmbbfvLRicklc4z19qpxg+QFjYow5G7rU7ltijuB+dV3CtEMZ2qencVm9yo7Eh8l8FyTIByfWlS3cN+8P7thlX61E7NcKqRjEiHn3qQOPL8p2IJ5APapSl0BtdSVrcsB5TgjnGD+X6VRubS4jXd1UYHH0qeJtzFYnKsP4auIWaICVcEjBoacdgSuYMcrqRtYqTxx9a3NKkMto5J+RW4PXr2rKNuHvii8fMM+wrRhl8i1JC7IVfJJ4yTxWyZMo2RdkmWFm64QbDz68/0/WrMF0ksQZ8BmXcV9M1gXMxRreMId7/MHY5z71Fc6lHDKVjfcyjBI74qvZ8xi5WNS71GCXMMbHd2x2rjdQ8QmzMiOrB42xlD83X1qhd3jtdZQhtxyF6MavXXh+XWdPknhJSdVD7ScH3FdMKNkZyqXMS+1b7Vbyyu5Myjdk9T9afY6w8aJcRSmOXHOD1+tcndLNZXEttICOuc/pT0uCtuq8+2e1E4J2RMKltbnf2+trNcIW2pI4BVhyCRXa6JfzT7oI0aVQRgocrk9c56V4jZzSPPHHk8t25r1DS7mC0tFhhLqMfMWbJY/WoxELWSCiuaVzu4rsKfmOCO2ala8DSKEP1964/7fuaNI2GSeQDnaorQt7orlie1cz5k7M9S0YxOqjmUguepPHsKU3K555+tYEV6GKoGA4yfb0/SrhkRl+9zRd9CFRi/iLNxaWN2wYwoHHdeKgGiKdzK+1Tz81Zkt09vcKcnBOM1Ya+kmAyTtJwAD0raOLqxVjiq5dBy8hp0KFnLPOoGMDHJpw0exDAFnb3NRTXWwkFs8ZHvVGbUWCk72RT1AHWreLqkwwNLsaw07TUwWTaexPepBDpqRsVt4zt6sByawWvcW4khDSHoSecVWXUCsnXLnsOg+tJ1arV7mkcNSvZo6FdShXIjCqO+0dKlGol0IUkccc1yVzcFnzgL9KtRzt5SnB55HP9aznKSXNc1jQhexqtrJDMuTuHBHYVXOsyF9oOPasO7nf7QynI4Dcc5zTYDiUE8UuVt6MtckVZo6RdSm2dTVWW8hd9rxojnkHb1+tQ/bI1jxxWVe3KSDIPTnitY1JRdrsw9hGpdtWNWfVDlwUcNEcZP3fwP9KhOoiIBmnZm67E61iXF1PDbzSKR84XG7puHf+dZiagN+GdCT/dPWu+lHnV7nBUg6b5TsrfU5pEG5mU/3c9K0be7kZtoYnPXmuRtbnoVfHtXQabMOuc05Jp6bEKmrXe5vfYLO5jw0MaSH+NRg59eKwZkktrqa3k++g4PqPWrN7qws8Etgg8iqlxeLdXS3HqoQe+D/APXq1LXQwnRtG5HKcZ54JwMd/WheWQnBIy3XGOfWopD/AKRFAOWCFmx2qaJOSSMA8fWt4S0OJrUkOUXf1dhwMdPc1UEZP3T36+pqxM275s9T2P8AKmZ2Q7wOeidtx9/Wh6G797UhaHzpFTHyJy34VFODLMFU4HXPtVxcCIJ/G/LZ7e1RmHbwOG7+wrlqvsVTjfchlRZ3xEAFHHHf3qSECyHJ4NNVfLcso4Paq2pzzLAYIIhNO/AUnAWuOUPM6o6Oz2NKW5WeMKMFe9WoJSq7DzhVB79qxdNhmtrZIrlg04wCV6ZPNaBYKvv3NYNNPzN4yUlotC7PMCCQ3asC9ugG2g9etS3N0yoVz+VZtqDcztI3+rj5J9TQm2yp8sYgRmaJWzgfvH/oKlLNtDMCfbFRvjLMSAGPU8VKgQAsdw9w3T8KqcktDgkpS1EiG3cxOZH5Jq7bIshw7celVHYrG7EqGCZDjgZ9xUgcxHqc9655O7uaU0rWNC52qgCmqMknUuQAPmJB7CmLI23L59aj5lYsQQg4JPempPYqUYx2Y8T7OHV2lIBKheeufx61JHOY3G7Ku3AyMYqJGc/KmQzHcQDgfXBqWOQqfL3eZuPcfrTuzN26milwsakbiRjn3qss/mAKT0YLn27VVlBG2MEn1NRIzY6dct+fH9K6KU7GE4XLMsmQrDnI5+oqARM7lVUvznA60IWbgc5OPxxmrMZjRcup4HAJ4H07it4zsrDjFkXlhGxIjMe4PUVMowRsLEfXnH0pqojvtGQTyMnP61NGhYGNvvLn8cUuZmjjYk89ioBZCvTBXB/PvVN94cgDj/exU8j5hZxwFwSG9M9jRI0YfjkHkEU43b0NIzUFqRmMPIy+YpA55HSopEKnBXOOx/xpz7lkYDGTxjFK7OSxxuXJyPSvRjJW1ODlknoQ79pBKKSP75zU8TuWEkn3R91fU1GX6Yxn/a/xpS0hG7yyP9pqpLmWh0RVty5C5eUZ7Hc34VNKA3A+lUYJQBgZx646/SrW+V8EKUGMKD1+pFCi0zOo10EARW5BLdQpOR+VTBhn59rH3yAPypnlmMkn5j61Ad2/JzW1rK7M4TjexckhR03Lww/hJzn6GqxCqCF4PUfhzSi6wuG9aheVcg5xx69x/wDWrG99GOUOqElkV8vwDjke+aAeGIPHIyD27f1qNgGYkA7uOVOCeMj609QgZvlkZiM7mbBAHTism7CXmSCXzG45J6kYFTeepUo3QDpVRMrLsyCAeuMU2TqD2YmmpXEm4PQeZMttPTP508SZ+gJJPvTwIWg+Y42nJNRPEQuQdw6im7XuwU73ElkC85O1j0HPT1pqNho36AnceefWq+5xuwe3FId+Hd2wMZG0VvGyRm20y6GUwq2QBkgbiQR9KVSZAWA2xABRkYJ71DHEglTeDh1XaWPQ/wCcVZXdIQvAAHPbFYT1eha91AGP+rABB/hIyKsxxQREExIsh9BxUaNCjkKdzevYU1iWzgbvxrNQu9SnOy0JZNwbjGB7VCzFCZEAwPvIOhFKJGf5G6jqBQhUuwJG3px2qvh2GtVqTiXeoCn92OlMcEggfeI4BquA8KOQD5e7K+uPep0cSjcuDkVpzdSopbImikUnaeTsxjPSl8xkORg4xz0OagePZjaMEHOabvY9cZ9+1VzXRrGTiXxebRx16Z9TVRpdh8wn/wCvUeWxjqcd+tQS5PzP93sKycbsp1+VEF1K1xJu8zZGOp7n2FPjmXcB17AZpnUg9ATgZHHHvSoiHkKOOrL0609IqyOeVRzd2WTtMe5Op/M1JExGNuDjkmqYDwtxgAjIbsKkDI2VB2EYPB604z0JcbO6Lay7wNpwD1x1p+4Ftv8AD/ePWqpYkYK7lPXFSI54A+5/cYf1p6sOZWFlGG5JJ9ex/CowzZPPPv2qyqfKODt7Z5pjII14xjnBPT/61OGhlKTJlkzwDxirNk2+XYfqazlYhwOQMnjNaunwn7SGA4IzU1rclzSnFvY1ooVDgkCs68ZpbtUQkgcmprq82nYnXHWqiTNbqZXTqMqTXjVJucrnuUk1BKROqJGROxGAeQe1QXN1GCBEoIc4OarN500hZiRvOcdhS3VquV2sSF5NYOKWrOlNt2RWvZZHXgr6/rVGQMrYyvTPH0qe7ih6GTAHGM01rZD5beaEBGMuaptpBpcqySEn5mHAHJHtSRxtKwH3M926VOLdo1JWVZSjcfLj9O9S8q7oSfMLfKAMc/SpVhvmeiEWKKPY4U7wOp5BNW2kEkRVnBVhjqMiqUk0SOyOTG+OmDgGmHa4LI6lu+2iSb1HTdpEUcSxuyF9yg1ciMKAHJVhx+lZ4ZDI2G+buKeHVsJJnJ4Bocrmko2Zosz87TxwePWmRy7Pn646iqD+fbYkiyVHVTWiiLLGsi9xmo1RIn2pFkLxjnqKcIjeSBwcEnrURtgj5LBV6ZJqYXUCKwi+ZgMnB61p0JV3sX4raONhIQPN6E1HdTBTgEA+lVRqAZUJkT5hwO5plywkAmXAJ4bjHNYzTNKc7O4xQy3LsBnzD1qe8gLwA7iWXDBB61Tt5THcKTyPQitN5gyEhvqc1UBVJXOcu7yWFo3lUCU8dclRXMahqzqknlP8kjE8Hk1c1Rrl71xg8HjFYUtlJO6xgEBjurrp2OWdx1nfPDtu2Xe27bEv05rpdI+IU1vJ9muLZXiclSQOQCM1z0Fg01uYJUXaG4DDByfertn4etYJRNdTMWH3I+p+pNdCkZWZU1+1jvb25nhXMe3ev0NU7LTfNhMzj5FYJ9feutS2gRg4BUEEbW6MP6U+PS1EUqxKRFsxj3+v1qZyUVcShdq+xi2mlpbXPmxllbpkHqPSursYgyL0JPXmqQtjsjf+8OR79/5VqW0e1CAPmKkepGa4rud3I61FU1ZD2gSP50AGf7vGf6UiTMMqCTxyO/5f4U24c5bDfwlVH9aqyuSMbQ5JOAf4eO3frS9TSLbL4uWj/eZ4IGT7jj+VSLrG08Px/KsyEKJN7nzZOxbkD6A1ppbxXMeJEVj6sOfz61PL2OqM7binUFlXnkAFhj8xUgvNmQrdM4z+dYd1G9hc7ASYmPBPb2qSGcOpIPTj9atJrUzqO5pzXTv1OMcD+dU2mLA7nII4wTxUDyFjgH8M02RlHRs46g/55pvUxUraF61uXMixswwx2jBwBmqty0ltM6fJkE5INVw+D2Ujn2/+tVrWI2KpOskW1gudv0xTpPVoVRPciWXMZklI49+TUv20yKCWAAHHGKx2kOOSTj36Uqykbhnseac9dCoytqbGBI6k5DbWXOfxHT3rLkv/AC+FyAOSO/1/OrsEm0luOcjOMZyKzLqzaW5XaQAU+b69qISinaREk5PQc+pMSeeehHr70iyblLSNhali0+KNRuAZsZJbmqlzZRkSncyxowC4J5z7fWrouE5e6Ff2lNWkRX+qNKNi4xjaid2qO20a28gTG4Buh0UHge1Y2o2t3Z3DISCQOxz1rOTUri2bJLYXllPp6ivQpt09EeZUl7R3Z05vXtmw2Rjqa29I1hS4BYVyRvRcRAknJHeq9rdvbXOM8E8UptvVGlNpPU6rxtqZR7ERMf3jhX57VsaXdeZDGw+ZguF9F9TXBaxcNe3FpEDliRiu60uNYbaOFevGTWlNdWcuInpyo1oV+ZnPG7q2OTUgZBjIkIwW4XFJlBGwPCgcn8aZI7RNtB52bQAa3TXU4lEazxlFy7rkYy3P1qSSSOVx5UiyRrwpTkD8KqbHZV82YAA8KBye9PhdtsaIm0bDlxwCc5FVNRcbt2NFpsTFoVCEFiwGcgZ7+lI88agbpASevBz/AIVI/mKMnbwvVl5H41UlEsnYFcZyFzisnCmlqx80mxpv0mu/IWN4mCkgsMjj3FFumx2kY5Yng+gpsQaGB8BSp69wf8KVGDEY2r7E8Vx1Kd9FojdwtG7ZYDb9wPGVOCex7VG5O0E9DjrUQc8sELf7SdKkWZJiNz45Bxjr7YrOVCw1WaKskJaRUySzHAA/rVtoEgttqjgHH1pbaImUyAbsDCgev+cUsy5CjBwoJ9hWbi4ol1OZ6mY6EuMnH6Y/OmswB5A9uxqxKjgfKjYx1+9VYJ82R34ArGe5SWhOmEVZDhjkbUIz78+1I7FpmfIAY7uBjH41EzFGA/jHUj1qVlyokUEBuD7Gogu4T09RVj3HOSzdgcD/AOsal8mU5BjcAdSaiXjHXB6VJdyCBIo95Mrru2g/dFbKi3szO76jdhHpkn73QfSpUUZBIwwqBLnC/MBnI3E9xnmrzoqfhzmsXFxdmWuWSv1QwRmTrweeaa0aqpLd+AalWVFfqCNtRySBovfB4+nNCVmaQtJakDOQoKYG3jHoSKcgMgHoBioZHCS56o3X6VJGxByhLA9NvX8q6YSSQON9i15P7pWXqDx9aSeU/bJVjBJI+8OQp96GnMahmIU/wrnnNCRbImYn9455+lJu70G4+7qUbuEyKElkMueCYztA+lPYxxBE3EbVA5FSy7SuTjgD68VUuJF837o5GeDWkUYpXbZfkBL7hhT1AxkCoxvU4DBT1yRxU83X6YHB745pjYAKtyMV6Satqc7kr2EDgt84Q+pFJOC7Dy0Kqe9NTHmA4BC8nPanXl47ouOMjj6VrGSvYluW6GIXjOckjv3/AEqb7TnDKc9mGc/iKpRSsiEN1NLGpLqx43YH50VG9SoWn8RvW8iPDl/Ssq8mKKXHY/nSrcZQKucnIA984pJ03GOM4+9k1nTk72IqQUdSu0m9mHpj86TY7yjawAI7npT/ACcruBGGbvUKqVYZlHA7fWtJxRCm2WVgZUYFskL096jaYWzqXdVA4+Y4pwVWmkzIOvfNRts3xqirI2MtuXIHPpWfLZaibbehOkqvI6owcIdo29D3/rSFXZ+RtQdWP8gKZBBDDI7+XukkOSD0H0qVlzjncrD5WNY8uuxqnpuMkcthR07VcB2xRx9s5P1qCOERplvqM1Uubht3y5rSm+kilBSejNF0jzuH0BNQmPOe/OOlVY7lnaNByzHH0q4zr5YjU4HVjV8l1eIpJR3Gr86AEr5aksV65NSrjgsM+oPb6GkVgy9flHRQvX8asEpnABLdMBeBx6+uamUWjO5E2Exz8vXH8R/Gl3pKu5SVC9Vzmk3KvygHeeu4EY/D/Cm7QHDN0PG4Ci7Qmk9yR8Mg2jI7t60xWw6HOMnB7U12eMG3XlyRt+h7/pS7djIBztHPuc1D1emxpz+7qTmTbIRjA9KrSKYpA9vldx+6eQadJJuclhgDvinKSY8g4Zv89a18mQk3sSx38ZUCUeWfU9KlKxldwPXpisySPfIAOQvU+tRCFFGVZ1z1CkjNQ4yWxu2ral+aZIeZHVUB6HrVQyvcMZNpRCpWNT1x60wQorBhGSezMd1SiNypO0kkHk0kn1M21shqg5YggdD6deP6VI6MBkrwMdGpGUmQYjDZc4AYdAM/zFC+YQzJCwGc009LXC3URZcr5MnEZ7U5oww5AKD7v/1qjedlGyeIjoM/pR5iY/dSZHZT1FNrqgjK2jJFWdDmIIc/wnrVhDkDDeYP4gw6VFG7OgMq7JO3sPWpDgfeGB/eH8VSpa6jcS1GyIchmCenoaS4I2g+o6jvVYlh8rjcB3HpThh0ZVIPHGKqUupk4EcZBlGMD3FdVbKsNkuB87jJ7fgK5ewjM93GuM7j/wDrrpruRowBu56H2FcmKloonbgoc0rkEgiQ5YZbI69qrTTea2SN2P0pk8igcOep+93qhLIfmw+ODzn/AD3rh20PYjZrUuSTMZ1HAAqrclpSu6UFST8oNUXlPnkl+w6CqryqYk/evw3cVHLZmkUWbtHjIGOOpI5H+elRCQMqbQuQclhVea5aOQlXDD0BwaFuI5xuBKuOTjgn60Oz3LcbfCXiX8w/d2nnKnn8qrSyzK2yRiwbhT3pjSeZIAx5IyrDrTyxlhZZOSOjVNknqNRunYYCz5QnLjqT/SmwymOcYb5e4PekVWkUJjpypqdbV3jDnIJ9qryM5ElyqvGXjCqwGenWoYUmlTeE+UdWPAqUp5Zy20kYwGNMklme0YsWOWwAvAFZWd7ItLS7Fcu5PnTYXGcU8X3kxIkSgkDjtVPbK9wRsxnjk9AB/wDWphvEhcjCs/r2HOa2VJW3C1i1KZ5o3aX5cDcC3qOaiEphkz5ifL3x69f51G90szY35GcH6dKzJJ2UjI7gfzP9KnbQL63NszsvlqDH0OcMB0PpUkV3wFbbyDwD6D359a5/7WBjKIQCf8aT7WuOm0gAcHPNQ03ozN6O6OpdlVdw7+/tmmW8wk8w5O1ccniqsEvn/IhLYbZn8BU9wBaWyIoDOzFiB+lYJ9EU2WDaQTnJwZHGBUEmiQH51/g6cdcdBWdBNLBdG4Z90mCAo5xV9NTIUKqMzADgeuc10wfLuYy1eg2XTEfAVQWyMj0NXbPQEU758MSOmcGoFmmbdOx2k4wq9fxq5aXHnLh2IzwGH9aJVJX02LhBNBNZQou3rnPX+tVFtvJYGMloxzsbkZ9a0Zpdj7W2ygDgmmBY5BkllJ7dRTvpqVFcruijNHiAkEZVgwX155/Q1MjDY2QeGwB2OKneJ2WQiNApQfMGySc4P6VTOY48Z/Gpi3qmbVfZtqUSvcH5unsBVTPJJ+90BPYVLM2VOeuTx71GymNd2czKM/7optmcdxRKRgHJkJOBjk55q1HcSRrz1qmrEsbh8FyAM+tKrmUb2GF6BQamWhrGfZEt5N9pQZ7VTVvKRVHQdPerSxqeXAI7KKeiBuUUdcDHakry0QqlWKIoYZJTubhRz70+RQDgjIJxg9all3KGXGB0qBtxb8a1vZWMIayuxilRjIz1qyzW02moGTDEHOD2HSo0d1xkKcA5/Kg3ZFr5ZjUnbn9amG90dFRLl1M2SGEE4LrwOo455p9tbB7hdrB1yTnpgDn/AAq6Iy4kPAwgGTwM0pVUbKffxtBXoKvntuctr7CT5QBenNRfMeQpFPMTO+6SVmY9M4HalMY4++o25+Y5zUc0GaqpKEbIgd5gOCOmee3rUDzMMh5I+n8K8/mKv/ZHePeBlOOO/SoGt0OOQ74BYY5Bz0xVqUVsYSqSnq9TIuLaGZ3ly0jsADk84HTBrHu7KMkqdwP91xzXTyWwU525AOTxxVOaxnudOuJ4jvWB+QTzj1FdFOct+hyVbI4+5jmtP3iEsmNxBPbvWjb6Pf3sSzxwsy9Tgc4rQSzS5gETj7j5OP7h5/xrYstRuLS73RwHyk4BUdq3U23oY6Nambo2jSz6qJ5lIWMcA9sV1VuG3Ps6jgfWtRb2wvtPlnj2Jcbf4RjJ96yI5thKjBZTk49a2jqzKasapmWKMxgBsgAZ7HvQsWBvlOWb+Ed/rVeD93yOX6Z96t4+YAZY45zXSko6nLJt6Ia0OQxZeAueuOtKdixkR8DbjAH+c1LNvLtiI8nGVP4f4VWaYKQGyCecMMH/AANROXMtDSlGxbVhJArcA4wcHoenXtULnbkDII7gc/X3p1swWF5twCE7SrcEkjtSMnzkDoOo9K5ZTVvQ2lSlFKVtGVQqqrNwN3cdD9aqvwSwB+b5RjoTVx/kXJJ3Y4zUDIAeg5PI+voalTT3M+ZjY0OV4yAMYHb/ACanCKxIIyegAot+oRvvf3TwfwPQ1ZaMMBjr0x3HFaRdtx2UiqAnUKzDg/ezjmoXdc8yMgA/iO4dankx1b7o4XPJP4iqsrlSQ6naOSeua0aTRFrCP5hI8wBkP8ajBFDAD5QfNA+bd3FRPK8eGGHU/wAI7UkQ+ysZUbcZOqntXLUin0No3XUaqBzhj75FWY9scZUsWU+oqNTjiIZ570Qqpuh57sE/i/2RUqi27lc6SsSeeIQSkYAH8R5NRFftH73YAw4Bx1qVsXMeU+4Dj0pHUpDtTnjimkk7vRmkpxUeRIqhgXSBeWdsk+1X5WJdkVuBwQfYY/wqlp1uyzPLJ97t7VaByXYEBQetRVUXscqumQOCMgMuQuOlRefjClhn0zipihkXzG4VumepqNYQAS+AD91SOCax06msb390jD7m8sNlyMhGXkD+tSeU54cNGo/uNux+HanxugRoZDtZuAe4p8eTJsbPpzTvfY2i3e7JrSCGJ94LPIeMydRVw5WVlY9+DVaJc5UgBh74zVr7vBw2OzH+orRJdTObcncrFGMjBMjPHH60xzbhuYIWOMZYcmp5p8ZRECA9T1P51nTQmSTO7HatowkKSS1NOQqZ3ZT0JAaq7v0x26cZ3fWmFv3kg9c00uCu8EcD1rs1scUo63FAGH3MFR1IVj0J64zTGXJAIwwGcHtSbgijdjocA+9PWKdkIWPzlA7HDKPwoukUhFi3EH17VI7oi5c4RBnjqT6CoDNErmMySCQHAQAbvz7/AJU+JFciQQKFU8F2ySfXFWpKS0K1hqx9uCgEz4Dt0X059fWpSwaTaThz1zxgU4AsDI549T1NMTKqWYDZ2Ujg/hU3SepE/e1uJKMxooxhRnArPdGD57epPvV5QkkgXyY/unt7dahmMTMwSNcLhRxnPH+NbRV9jNO25FF+8mZIyMY+Zs1JFGyj5epGT7+lG6Ug5gyuOAR6elODRx4DB4tuAN4yOPf8aKiTVkWpaEypu4Y/L/eHY1J5bs37rGV5K9qfGoC7gdwbgEd6aylXyvBAw1YN9A5b6kk7rJGAnGOCD2NZ7wrkkD6mrJxuO7oOTjnNJtD7c4ZiM7VOcE1cdjWCuUI0KHf0IUnPp2qzEMt8xwAB2qZrbbH8zBc9fU/SmmMlSzMUUnKooBJ9zVuVi/d2L1v5O054IHFQSOVZjGc1QeR0Ugcgjginwy5G0qQT3qeexnOmm9C7FJ567Tgr79qcMqfLYFgT+P40WiAYz1yKkuAN4Ixn1rJWTZNWHKlYrrg3EbHq6Fc+uOlSuuD0qGbiHcvDoy7Pc+nvxUxOSA3yqwyCeR+dJ6O5FrlfJyWc4GOBTiTsXICgDOKa6rjcr5B5B6imSS7/AJmYZPGBW0bMm7iNMpCkY/KnjhVXjnjnpVZZCzBugBzyeasQ9QMjcW+mPWnN22HH3tyQYBI3YC5zz/TvTWUeWpZU5J7kcU0N5rSBfu9zTnIe4SP+BFwP61k13LXkOCnzV2hB8uflFOjWYbsPtUcHNRy3LNdLDbryF5NOEBC7Wk56sB3p2vrsDfL6ljzi3yvgn0qFrWAyB2yCvYHFIbKRfmBxnke1IzM3yqv1JqdtmOKTJJFkc8cue9R202+Uxk57DPahJCWKE9Owps4G5ZQdjL+NJplp2umTuNrYAJI59aYkrCQOGB5+n6015PMi349mqFCSScf5+tSuwpNWudBokCyXckwXCqP1P/1s1d1Havfn1pmnILewUZ+ZuTVK8n3ttY5B4zXBXblLc9TB0nGF7FG4lZH4ORwcetU929gvZuBU0h+Q8/d96mWBEaGYjMZ+Yg+tYNPqdqkk7FRYUMsmS33ezZqBmiEcZ8zgnPzjj8xTru4PmyFMgkmsafzQoLE5XuO9JmztbU15IYp1YqQH46Gsu4hkt5wfT+LtRa3DOOSRIvIYdxVtbj7ZbtbyrluwqOazGoXV0RRXGZEYruHc+lXIJEM7x9Bk9PSswJ5Myxn6GpBIy3ce3Gc+lW43CErPU0y3lNg4LLz96lllb5wGJyhx781Dds32klcYwO9VJLhlUb+x6+2D/wDWrN3lsTJKLJJMkndKoHHrn0oQp5ACsx+fPB9qz3l+Xt8ox+X/AOunRJcOjlISwHfOBwa1VkiYv3jTijDs7ZMa4Iyzc1kzW7rOyJkgdPc+tTSh4pEB4PX29apSXDo7MGOSeuazvNydtjsl7P2SlfUcQyMFz0HJ9akKuuGbsM5Pbin2o+0SoDy7cn2qzfwksERTjvjuatS0szhqK70MZ9zfjTooCxBbJ77R3P8AkVpQac8hGR3HatCLTkjxu5PHAqZSS0RKjcpWYlhx+9Cc5woyScYrQSNJCNxdj7nFTpaqoycYPoOOtTrCDkZ2qP4uuKz5n0K5UMis4iPTPrTmtHUnII+lWhFFEuZAdhPDL3/CrCoWHy4Zf5f4VL8x83KrWMy3t5Bc7QCUYHI/WnINpYJwCzEDHTmtcRhIJJMdVKrkZ+p/+vVAQ4IHckD17f401uKDsrkLMzNn0qwrDyiGGCORmnQxqTuP3cc8VWmlHmkIeOcYrRvuUotkkUpjk7YYnP41FdxhWkXOFzkfiP8A9VOEm/gMvReqjPrVmeIyQRS9cHB46EUuodLGLIuP3p++RwP61XYFmVh0Byx9fatC4RuH6n19BVNwFcQAHaTz7U3oQmREFyHUHYDnHoKl4EnmAfKDyvaljbyDIuAdw4pI4mclAcYGc0KIOT2Gu43+b0jZuFHb2pr5WQ4AAzuAz/SnKcjaRxn5R6Go+SuCRuXrVXsS0HnOuQfX1qY8sVwepziqsYMk5QcsFJwPrWrDE0KFQAJDy7ke9JsqMralYWk8+9gMArxnjmnNp0iE4YNyAMH8c1I0rM3Unn16Yp8UbSDPIJ7jvS5pJbA9dyEW6qf3pJwcYxx+NSiNSuVVSfY4NWY4SWAB2MecEZzT5I4bZt3Qv3FTaU9xqUVoiiEDHGOD7VPFakMAy8HgVeWK3jQyvzGRngdDVW6vQ0PlrzC+Nr9wferio7RVxTkRTBbeYoZAqH7w6nNVvKZclh/XP41ahgDwCOb5nU8dyKfGXdzDsVW/harV3q9jKTWy1ZVa23oWBG0cEnpWRNbM4+yWs2Fk4YdF5NaU4mXUGklJMaAho+31qSREf5rf7rjIC8j8a6IRcdehz/A2kcdNFLCksAyrfccjr6f0pbHULrT7kCM7ww2lW5rVvLUR3G5SGVuuB90+lVFtSJ3liXc237v901tzKJg4W1K9uzW9y7POVaRiWA7Z9q6Kxe3KjyleQ+prNsNFmv4Jpg3lkZCkj7xz0rrxpkem6PBHJhp+SXxg10UndmMmrXKgkmQAm3IXrlSDjmpob0buAD/MUgMqEEnrg1PHGl0pM0auB3I/r2rq5oLdGXNF9CQu7EN5eATkEjrxTN25cNyO4wOaz7m5kg8mO2d32SfKrHOR3Ga0yo3EDGATzWVZOOqBKzKLWCTXAG5thx+7LErkenp0q5LII35JUn15FQTZD56DrUNw7ykKw5PSuObTWprzyl7t9h0rjBxg+1QhvMcE/dHX3rKsoblNTuHaTNuRhQfWr6PulZlyFBwCO9c73M5q25eIyFY43Zzz3qQyAjByWAwMnkfQ1WST+Jz0+6O4pzfMm4rgZ+8K2jUsJJSElkAbK4bYM7SMc1TLFXCrnJG5g3rUxXJ++CuQTzzxSBFA45bqPatfaKxryPchVPLDOp/efxLUkFsbhsr36ig5YAKpJHV8gUy4mbyxDbB1kb/loGxj8KqLj01Bwk/IsyARHZEP3q8MaZ5IC5H3zyR6Gp4IsLz80nr61NDbiRsjnJ60mrDVkQrGLa2xjnkk00bY4N8jAetS3CmS42AApH6+tU76A3ESQFiAWDNgjoKiVkrPqSk3dokkUGFmBwCKqROxjUYOwnIX1qRm3RbAT5a4GT3qo8zGUKhHp1rkty3FUnfR7mgB5j4boByR2FRSMZnI7L9z2oJ+VY19eTTwgYFD/q+pb3qdG7lU3ZFNo2l5Iww7+tXI13xBgOU4IqRFIIzjYeB7VNIgg+7wrfjWupqnGz7ip6EBhzgN3/wpA+52McbRIABhjkk96I8gq2RjO0j3ptwwyABj3q4JvRmbdtUQyyBCT0xTI7iMKd+M5qG4cAbiRx6jOP6io4rYzKWJ5zjNauLa0ZTqq92XPNdpH2DYuT8zLk0x5WB4CHGMMRz17GlaSNrggPt3sSqt1HtSuhK7jkAdQa7knY4nYZ50qHIlcuT1zggmlA82fZISdvLHOD+lRglcyHqTtUe9OjGxQCcsRlvrSa7AiR024A5Utu9/xqVOANpyvr6exqKNtww3I7LUvksoDqSuThcdzRKNloXBX+IlCtOVx07fSlu4wGVBkAcYFNRrrjb5TAAc9P0/wp43IDgfN/fI5rPbVhKnJOxAV8qNuD5knGDxgf8A66r7yvA4AOABxz9atsCWPBPXOT14/wAaYFCDAPI6kEfpTVS2xHsrkKKCT05PJzkGrMRZAcghe4pEjV0Lrw3OG9/epkc7dpwSMZHtVys1dCs07DFiVHby/lUjOB3NBYZ2dCer9gT60HGGU8CM53etMOZRuJ2qOAPX3qW+rKha9uhIQFbON6g7UIB2/XPrQQV3Sy4P90NyT/hTY7gxtgHjoB1z706bYF3RqfchqVtbMJO2sdSMyBQWKjce5FV5pswM5YbgQMHryeMetSEFuh5PQEc//XqtgAljhiOcEd6taOz2IUtbj5AQVRenK5Pc+tTQmNR8w5PrUcZ3s0TnnAdGzwc/5FOZCMgj6e4xWdnfRm0qnNuh/mlHyGpWlkkdUXJY1EqqMNyx9xwKlVxFGZM85wD6+tNrqyoy5tyeEK9yi5ysQ49z61LNw+M8CqkSmGKEnghRViUliCR97pis780rfcRVp2XOmUrh38wHOAMDGKgzuywA7Dd1q5LGHOzdk9Sary/u8Rxk8c5FaxTTIilIYAS2F7YG49PU055lhjEcbZbpn+ZqBnIXBzkdSOlOijYkOThiCfXit0luxOLWiLFswWLjgE9fWmSSObgIgy7dKaXJQgDLHgAdqlT9wpwd0rD5m/oKnlu7sOblVluODLbbgvLMfnfHSpTlUUscseVx3qGEhD5g+YEfdPSnLJ+8Vg6knnaeaicrsIp7skFxPG3ILKeoPerTiOaLdHwO49KiFycEPGPTPSkW4iVxGRsBPDHpWdk9httasiEfOckn0Aon5I9BxkdPzqw21iSOn9/P9KikQkLwTkcYb/OajVPUbnchtyPMKPu2sCDnj8afbwk3aQdcuB1zmodvlyA+h7dK1dMj3an5hGVjjDhvrkUTtyuSCm/eSNe8dY4ggOGx+VY8xL8k4zxVy5bfIxPT1psaJnL48w9CeiivLk0vU92HNaxXt7XY+67/ANW3YHrRcP5IO7iI/dq2ClwGQhVK9ff6VVMBkJjmGF/hBrOUr7m8I22MK43qHO3nqtZ8lyJ7ZwV2zL0966ea0GPJc89VPr7VzepWuCzL8re3asua5s42Ma0vCl5tJ4ORgmtKO5C3WACMjsa5wSbb75+GzzV6RttzG+cr603uKD5ToimWD89O3BqGJGD+Y42qG4BHBqGK9IYoc4A4pYrtnUqgJBbgVabashNpSuXbiUDb1LE9Paqc24x7sYycD+dLj598hGegA7U9R5m3IKKpJ+aqVomc5OZVKld3JBAxx64/+vVuP94FUvIcvtGQR2pHmhiGcFzuzk1XF/IJYj2DZx/n8KybctkHLy7luSNGaVyTgptBLdOw/lWSqBiWILEk49BVptSHltGqltwwSOAO9QxQyy58sDqTknGM04zklqgY6DzLeZmTqR34rSszNK672TLHGOvvSQWCbsyyhjyDt6CrZSJQPsyMWVgR7/5FRzNu1hp9y6ltNt4OMEdB+FSRQkYyCSpGD3qeKSRlB24HqaeZVgGfMbd2wMCrSbBq+wq2bleMZ65PBP1FMeKLATcxXupHBqVf3pIdS+f4hyadEimMNnev60ONupSutiCMDO0Btv8AtHNXY2hiib58MeD7DvUZt8n5QarShUlkMmQSOdtR11FKN9UzU8yCZlBcKqpheD19aje0jY5ilWTkZx24yaoRyorJhCSQF+Y9aW0vhLeLAVHzBlGOMc1PNclqw9m8tAo6k8VmlMyEcV0D28UpB3FX6D8vSqy6e0EylxujHQ+p96uLvuCbQWdgnkiSdck9F6Zpdvlu8W3ajfMvPerTyBnCg8evqag1GRYrJiT8+MCmtXqEajTM2Uo0OMDOKy51MalwMkjH51bCyGNd+cjrimyR44HzKRQpNuzKmo3vEpsA8ShWyFAJ9/apJJPMMe1duBg470i20gcjadv3l9jUy2jkBi20MMdeQa1XmYtFUgE5JIDdBjoaekfmlcRkdiQeTU/2eNVLbidw6t69Kas5iljYjYQcHjg1XKpIqzQtsYbRyqREuwxufqPpVhQsqOOp3ZqG7YuNylR9OoqK2lMbSLnnAzWTg46j0loiykbBhlevzEegqV85AUfu25XHarMTpcQFAQGHzFvb0qJWEQPmEDPQHr9K0jZmTuSrC5wx6ng05IvM+SbBHv3qtJqDEMsajpkVWmu5ZAM8dcY9/wD9VU1cm7RZdj5r2bD5MfK360yysXSUsV3Wp6Z7GpLeUmx8x0BlK4UnvTYdTaKMQyLhD2JxiotJrliF7O7LEyRbsK+1/wC96imX2LW1USk5P3ZAcVXa3luXUq+FVsgg9akuzGlswnIxjjIzg+1bRpK8VclS3bKHmC7BefcZF+6AOCP8aVN4g2Oyoqnhc84PsKZa+Y0chwrqCMc8g1LFjzSArKWBGY0Oefet+dU6tuhXJz079Spcqu35k2ooLHkAsAOeD1qgEMbAjO5OxGD71pTRMY93kkKwwd/zH0NZs0bb8zXCl88K2cjjHX9a1lST2ObntozqdEjRo0lT/VMxIHo3etS+XdMAclh8xH8qpeFokjbyCRImRKGzwc9QCKtajKsWEV8yOpZiey5wKdGSei3OfE0XD0MuQfMedzdPx60r8RbOfm5OKAR94joMAepNJK2ACeSxHPXOPeupR97mOWEbasiSP95vOC46YH3R7VaDYUYx1yWP8qpxjcqqGILNl2T0znHP1qWR9mcckNnNDd3qXLltpuEjIvzOeTjjrUU26eQkDaMYxTC+ZBkAsc1JuB3yFsj0965qsVujNSaehTvD5SBF6+gqIExqqtyzdvSp3UyMHJJ+bJNQLiWWWZzhV4HvXFK3QuXmTLJjgfM/c9hUm1pdrF9u3oelVo2AG9+AegFP8wv97j2Hqegx3rPmtoieZon4ZsRJvI5BbpSSXlpbOkE7/v5CAFQZ/WrFucbQ3yg4yMjAH41z0o8/UZLhY9q7/kU54HbrW1KPPqzWnKb0ub58tl46c4+oqLy23FsZdug9Khs2ZmSMfdXJb0znP8600TCgg/vGG76CuqEWlobSai7SIYgzFlUkBRyx7H2q2siwptQgMqnnGP8A9dRxqVhMce7kgEjv+NPETsjAKAGbHzOOn0q5SsS7SI0KhAiupYjJ7fzqrcqV3KGwSAM/jVthIAATHgjkKM/57VTkK8nJxwcLyPbNYTak7kaw2IJlUDYo4HGfWqmz96CMk5wKslolJYuUxk5HIqRbdpATDtchcEqenrwa45qRny68zI1G3JBHHy7umPp6VYIAQRKGz1Zh/nmmiOOPG9lJX7sanv70oycgkj2X5az5mnsU5dCaJgUKnBPYj1p4ZpIgGAJ4zkgHj61WZX5O/d8p4dRn8xUoCr8uBgKOvPatoTch3QjMUDArnjp9P/rVHO2FA5welNYBZANuBwD6HrmmEE26Ag5yMgc8VtCXQpq7uirJw+Ofx7fjUEl00D7CSeM8Yq79lmkYbU5PXPABqdLCxiG24lMkp5Yjp+FXztO42ot6lKdmKrtHzMQBxk1blfChpSWbGAtSJArES9AOlQycncR9Ca9KF0vI5Y7aIYo3yhpf4RwvvQ+VYHnHXB6Ux8hkUAEZy3PH/wBapZ2WdAI1KqQO/wDXvVtLQnXqQxO0k+SBsP8AD2q3cXwTYFOGxhQe1RWw2ElxwKimhFxdKo6Zo5V1LjNt27GtbSI0YXIx70+SaMN7jpVIW0lshY8DGRWPbz3E+pP5mREvC+9LRaJHXCMW25M6VYnm5ZgF77RyabLbBF3/AMABqa18raPUdxSXU4zs6gd6ylBdAacOmhVjYKjBuvHX0pFlAbdnjdng9hUHmAHOMjPNRGUlcHpjafxpNWRgo3kTucR8n5VJJPrzxUvyKP32cY+7VWN/NlSNvUO2PQdM0krM7ljnrnBojJ30JqQ5Vdkm0O+0Hb79eKtRKPLPzDj1qCEAkljj+lJKEEY8s4APU96bmZeyv6D2G5goG4k5C9zgVXVC2QJNpHBJ6j8D0qP5wQpOedwH4dqmVd7nzCZAgzhzkj8aV7hy2IwnTy2KlMBC3Ib605rkIMygxdSCeVJ+v41Kifu92coT933prfLkKcEg7iD0FJ76mkdhpk2qOQTgADPXilQBpMzMCcYWNeQB71CYYhysKoWAYtH8rH609F2jCKoyMDJ5oaXUpNvYtHMjDd0J6D+VJ5pUFH6e3alaQKMoCR/D70bSYwxG09cdKnlT3Jd+hICBFlSMkcGoGX5GbaNzHHB6mo3Dxk+XyD1TuPpTBdgHDEq+SSGGCOPStEpLclW6D3j2MSWHfOKbLJsYoBl2AJA7UnnhiAD8zE4H9aQjy1bYwUn7zt1JrWN+hXMuom4RHe/B7L3NNXzJHHynnpu496RYY+rE5bJJJ5P+f608CIjpgkZxu9faiV9idFqTxFjjdKFzycCpnt4JSGVxuCj2qqDbqVJZT1/h/KpopxHhkRW4Ax0NYuLWwk0x2DE37xW24zuBzTygdMjlTz0/Wpt0c0YZV27h8yGmbOVI5UHp39Kz5upolpYjDkAKDhexHr6GpVA2Eldvzc7eRg1EY8njgnke+KkhUAhSsiiQY3qfyptpmbVmNMfPzADdyCBgVpadEUQ/3n/l/wDrqmsbTTg8FuBu7mtgqtvDgjnvjrXLVbScV1O3B0rz53siCV1Qcgk+lZF7dnzAQwAzzir11LlSM88Dgde1c3e3Kq5DnKnIOe3+FcEk7nvQgnqjWh1AThSW2lPu+9aPnieESvxInQehriFmaO4+duF6D1PrWn/ag3phuemD3oa0F8L0Nti1xKrg/d6/WqNzaGdZfl71ctpV2boyfmXcw9DUD3DiSULn5hmsHo7m/Nzxsefa1Yy29wGwRz1qzbQPNZqTw5x17Vb1qYFzkHjBNVbOaWWORypAbpnsOlXo0mc3wysaS28Mc6MWLNjBB6ZqVXDN8nyhsnA64qid5wTnO0nPuf8A9VX7ZHDYyAoGOSBmi/YdrvUniic7QqHJHGeKVoS6HJ47n0qaMBihbJ+U9G4p7Z+yO+Coz6ULVmvs7Iy3gDKTztB4PrUHkeYNp4HrVyM/Ng5x9acY8MQBxVa9DLlXUqJahTgjH9KsRxkMCF+U8kVKoPGemep7VYSFVG7JU9iOlPTqHIvQjjTLLzl8HhuDzV2OTZCRhRKv3Q1RkAL8yhmbq4pCr8DO5TxzTshLyLUFzK5AuQ3ttq8xiuIxCyj5uhHaoI7fyFDSE7TyM8inW6kyjOBzkY6Gs5PXmRvF3XK0WkVbVE2kgjvnrViF0aKRgikF/wC90OcVn3VwfNZQ3AyDhuDToji3fcOrD7wz/L8Kp6oxkrM1EcHdlR/kVHOkJ+/gZ+X8azGuwjHAAyT0FVmnkl+UEk+1YNNiTSdzSd4mMaYHXtVm2jgLlov9YoOQwB69x3rOtLZrlmU53L6962Y4wFG5eQME1mklohzd3dkiod2QOgPXkAfSpMAxOjOFTGGxyfyqITIvyO3IA+XGc+tV5Imnm8wRBCF+ZieMfStVF9DPUpedJDIUcbhnA284ouHM7KHDbVOQMcntV5YtoxGoHAJIPX8e1V5gIlLHLYXc57gZ9O9NXuUqd2VljYYIQ/icZpDGQeVUsfTnFPNzFtyBsU8BieSKXzUm4jfJJwMHOB9O3St4prUfLHqVJpjGOScH071GjLJllxkEdfrTp7dC3Bwq/efsaqTXLInlxgJEOw6t9atwvsx6LYss5AO1hgkjk1UILODsIB7ryPyqOORnUgnq3f3GP8KjJHyklOenJBqdUEbPcnlGzZ8wYFuB/wDW7U/7O/zAfeOAT6Co/ORhDznByec8VZkvkjdkCHcPUdav443ZnJKE3yj4x5DJyB83X1qe8j8yRJYkLgEcscZx/Ks4XYecMxG/sPStKeZ1hVFRcAZ5PU/5NZWcXcJR0GwWzsuWKgdMAZzTbq3SFVkALJ0C4wSajaafZJ++C4YdG/CnwNLOZYmkBDrnk8f56UKXUzctOUkS4UxYAG7HfoB0qrcW/nkNE2T0Jx3prqFjP8QHBJ6flU1tK2w72IJPABxke1aRlrYiUdLouxYWNV4Jx1xwTWVrsmx4wAeR2NXjMsbDd8ueAfWor6FZ4vmAYYyM1tCVpGTRUstptc4G5uThtv5ip0BWXIlkQDnofT1pIIwANw+XsD1qWS4IjYBsMwIz6H0NKN5SuzSVTljZFF8SLPtu1ZlzndnOT2FZd1ayrKJSTIhxk9cEVDCY7aeWGeVjM5Ctg9D2rp9KtcT+R/rUKhiGGQa3cnH0OV2Zq+FrQWelS3bgbmJCA9BzzVK6le6nmkds5OwNjGB3Fa19IllozxxdA+ETuCe3061jFSCsefujJrooq/vdzkm23bsAyzgJkZzj2A7026I3DHEaqFGOM+tPUbsDu3X2FR3WWn2qgIXpk966SEMV1EigugCgDC+9Md0LH5jz6cGm75FdwGiHBNMlcktuZcdemR1/SspdyGtRcDd+6lBOc4Iwf/r0qHCMgPy5555qq2HGcqR7f596kiPmOAX6fxE9vTNYuLnoNKxMRvjG0YHbioJ0VbUqpAYHO3nJpxu4mleCIlpEOOnGOxHrUbW6nLOCzema5p0tTeK90rNJv2gfdXmnrJt+dhyfuA/zqR4SEI3BVUcqOMU62Fq0yuEV2YcPnNNUkldmlLDuo7R3E815IikeSW4ZsZ/CnNDJsyI8KAQAWxio9Ru5be68ot8o6Ed6hTUiVxnkAnn6VajJaxE4+z3RfiVoHAMZUngZHB+hq200YDJJPhjnKiq1o75KpIykjHBwD+FPn+TYAuAy5PGRnvVRfPoTyO3MWVktvlJkcDcSM9KfiAID5jnGSfSo4Uj3H5FU54IGAfwp0kKgZUbTjqvHX270uZR0sZu+9xkjRrwGOcEcjp+NVZJAScn5unJ9P/10TK+egcH0+U1BtLyIqnKqpL7xgg5rKdSI+RtXuNeLzVJZAI85Jz19gKA2GCRjGRjA61MFXdkAAD9T70MixKG5OeMjv3rmVSTZCu9CtqF2+nafLeTACNBgZ5yadZX63EAkPyg5OR0NWHEc8OJUV4/7rcg1FtLNHDDGrQxtvO3gZx/9amp30l/X/BOp4e1Pn6F3d8vIy3Qeg9zUEjleR6EDt1NRNcYJ5yw/z0qITtNLsXGQCCR/CP8AOaxcmnsccm0XAm9i28Rx5+93IpwuVhUrblkyOWHBqjJJuOxBtjHBPc07LMAAQCT37GtItt3bJ956IuB/NIVs8/xFvmP5VXlYRSFHJVh2IzS27eVKJNmT1BNMn2TzNJIcsxzzW0Je9aWxtKmlFdy2HxCFzg4z9aiclucAnHBNOkWXb8oBPbsarQ3DC5a1lUh9u5c/qK9iNkrERvawkqFvkHDdyBjAp4Gc45AGCx/wqVgCwOcn+IimsfLOzbudui+lO9iXFtEqom8YPyIMlvWmxD/SPNI+XscVGw/diHJ25+YjufSrPS3SNugOBUyu9RRstBlzcNcy+WOIx3pkkCImQKljh+cQdCeppJGAl3fwJwvv71MU77mynbV7kYkaBSgzn37/AEpfNJUg9SOfYUEyTNk4QDGOM5ppAAbcVU4ySoyOvcfj2q3GNxurOSI3Y4Bx17e1QMzLhc/MeF9anI352TwgDq+Cf0xRGsMJLqTNIeshGQPpScb6IjmtqxqjYm3aPmOSCOtPjXIdQ7qBhjzuGOmBnpzSbiGLtnOPven4UsJCtvPKY2kDqfekkkROTeookCgMeAfuqOSalXaQM4Z8dM/dqqwG8yEkxqeSByBUemTTXNzMZUKxcEb8ZBzz+GKvkhbUz5pN2NDf7BiecH+lPVRKqtGT6MfTFVyd6EnIUMQrVH57J5q9NxDH34x/hWfs0nZBzNOxO7HeSnToRUZOcKwIU8nPf8agaU7w2cA9/WrCOrYVlGTVWdrM3gk9UOb724g4+nTj0pAykYDcHkA9M091SJxsGCTjigtG2Q6gnueh/Oo02kNwa1iG/J3MDgdMUpmG8O5zjgCo2e3j/jYD0602J/OfEcRC/wB5qT5H1JUaltidGllGR+7j6k+tV5ts5KLCHC9S+TVsq0nyKTkUoMUalQMED5vf6VCs37pSSXxGSlqIpvMjZlcjaMncoHoAef1qRpSn+sUrjoRyv/1qmcDdu/gc4AHam/MuEzyPT07VrGNnchtbEAmUHrwTknPX8e9TLKkaZfgZx9SKiliUHb5EbueoAwPxHSkFjGpST7swzhUJKDPsa0d2rpivHqaMSrIikwJ043dac1opGUBQ56dQe9UwZCcEE+/b/wCtViG5YYDZPpnr/nmspXEkriDzbc7ZMgZA3dqtKwkTcOQRwacpVuCMjpg1XVVgYxgrtyQDnnHas21I01RYbl0Yktg8j0p6wBCvHy4ypU1Gr7WY43AEZGeSKuQRq1xKyZ8oHCA9ietZO8Vcag5ySRas4hAm9sb/AFqG8ulXIBqadwsfIOT6Vy+pzMGyDXDU5m7pnuYelHlsixc3YKk547Dt1zmuV1K8+Y91xjrVu4u/NjbLY2j5s9q525E9y+yFGIP8TcAfiazU76HUvcuajSbraJ+TlKbZ+ZLKQwO0YIJ4qN1EaBWydqhQvTFR20o81gg2kjGd35frQZylfY7C0uW+zyMP4hhcemaltJ2Mlw21ThdoyaytJUyo6NOoPAwPap7KNBLIjScZycdzXPPV2KhzdCtfQea8hZkOzOFXucdaoW0ePMASXgEcH8f61f8AIWRp1DckdM+9U4bR98xDKF3D+I0W01Gou+iLE9vskXqgIGN49KWJEDcs7n6celW3tmyhDhgy474P51JHCyZLLwDmmkX8hbNTmMq7jCEZCZ+v9KtLgxMnmkk4GDwOagS4KMuzCAd0q4YhOuXTqOHQcH60nvc2VRKPKZhjUtlOGHVT2qZEOwE8j1HarhtoxkBR+PUc/wD66URHOQMgj8/8jFW5pbnK0RLbBPmJDYGctUbSqWXGGjYfePUVNcM0EakEFDwRVFmCRbgMRnnHpShJyYntqTAvG4ZAGjY4x1xWpEsdqpYgOrdR6VUtI/sUBaT5kY5B9KV5DIsjRH/gNa3voTtqyR52bpgqP4auWgVVZjnBwcf/AFu9YcbPLJ8nDDrnoKvx3GJCvUYxkHOfwqaiXLZF05NSuxH+aVjzknnjn8qdk7VjXHz8nAx3qZQkmAQCM8e30pfs5V+BxtG3P8v1qFJDlqNWKLK78szEjjsau21sEKSrFtMfVR3qKC02Mxydp59xVz5iA+W+UdR6Vm/e3JtbYkLZbzIUWMHueoNBldiQz7geqrxn8arx31rJIyZYsPvIeg/Gq7vLDKyFhtHICj+taxS2Q7W1ZauZ0tQuyJcnqT1/WofPknjLLk5HFTTKLqy2tHzjIUn+tZa3DI+3GAP4RQpXvbdFSjaxILwK+dzsBjdk55zmr4ufMgBkVR6KOcelZV6Cjq4wpblUzwp70yzlYyECTgn5mY8n+laOEakbmfM47iaikofzFZJCx+YY5SpLJ2iiYTEsSc5UZwMdPpT3uI1WREk/eAcKRwayheFCHYfKPQ4IqIqbTiuhtem7N7s2iY5QMEbR0BPFYepoIrjb5u7IzgcYrZQrxvY9OoNVb8pKFQRo/OQ+P69acKjsZVIOLMyBkGenU/ypZpAFGFH3D0z6/lUgtcN8oB9gabJABglZFA44ANNO+rE30RPpoBukJQYjO459h/jTL4vNPJJnJCFifp/k1Yt1WC1aQMCGJBYdhmsm4vQ7NHEG+YYLH0raCSfMzncrlqytNsyZO5sdferl0UMrBpOhxVW3vFiBbGWx8o/rVZrpdx3YY55zWdR30RvGLd2yy7IImG/qwPT0z/XFSWYX7VGckjd1U5/MVRSZHIHl44Gdv19PwFXbR0EiOFycHDKNpBz/APqpbRZzVI+8XboiNQzKuwkr8vc/SmR5YbX+Urzuxziq3mM8zHO6I/oamHyplGyBy3rt9KIRaJnMbeb41XJJY+/ak0+5ZopVkyNh+Ump2dAcH7q8jNVLrGyXy+DtLYHc4zXSm7amPtLqxLPdbSQOR14+lZs8ty+7y+TtHOO/Sse81r7L5QY7mZSpHpzkVDZX95qN55cZILScKOKpQe6M3JXNZdKe8vlMny5ADMO5B6110F9HZIYoYi74wzEHjFVbQy6XCBlGkI5JTO2lmuJWXzQ+Y2Ofl7nGK6aNKUldmMnd2RZa/MwCybBjnaVPB/nSYH3gcA98gj86hW4cEDPfHzKD04/oKtJIk0LbokYnksVHTFdPLZGLbQyKWNppCmD5Z2lmHGcdqpzKoG4859T1q6tsVi3SEhRyQOmapy7WY72Cr0wvJI9Kzje+j0NJThyruVHUIWyEGOvHSqxfeeAcngYByatzSBv9XGACf4+c+9QDzCcIzMx6tjH5U5SiupnCLkxNixjfcOykk7Y0HzY9+1AdGYKsW1fTOSaY8e1+Tuc9c9aeI2jBZxjd8oB/P/61ZPVaFv8Ady1RPGixn91Cqs3U45NSgjZu5Uep6n8KSFW8o7+/TBqQBmbavODgc4xUxV9GTKd3dETwCeF4wuEPB96oyx/Yolt4V2jOOOa2D+7QnPOD17/hWc6sZc8Aeh6H8a1hC977FwquGsWVr+FvIRmwWA4PcVnRxOJAeq9wfStO5kkeRVwdo49P/rU9YwMEdD/nFTzKPuoqU3N3kSWjiIKG5K8irkaOtxK0pVlfDIQOnqKrw25J3DhkOCD3FXEXfF5a8HqKlRSdyPaStZEoQImUGRxwe2elMlk3AKpyzDt2psTb4FPJcADpgDmopGCICScAnnHHGe/1pyRk2RMxO5s8YyPrUDT5Y9x3xT2b5ASwCgY556VXVi3zIABgEsen0rhrXTJux/z27FjIG8wLt9Vz2/TNSl1kBUnC9ye1VAzySbYRubHLkZ4xUkCxiTJ/ekdWPIB+nas0303NYEM7s8qxxq+wkjIU1ZTasWxUUIOuCefrUs8mxl5wBwOKpSz+U+RwOT7GlJNKxcqkpLfQnklQ8GJBjA6c+/NRh40XYqrGrc+xz7/41XlnDOWX5XADD0PamCXzCVC8dxjNQ3oY2LIJ3ZYAA54NSRkqei8Dr3qsxhjtJJRKFkVgFjY449amjKuit0DDI5q/hVhNOOpaTbFbEqMluBk1T3kk8kc9CKkkdmTaQCAKhQ5BPv3GaqDtuVrL3i7KXuSY4jsjH35O/wCFQLbQ2/EAfc3dmLbj9DV5sucsAMnO3GKrSE+YQCc/56V7cGtgSlbyAPKP3aTIoHBMa/5xSu8Nun7pmeVursck1GVEQAPLgdBxzT0beisVAOPmOMc1aaWiRnO+7ZNZny3czEEDt6mpmOX3fkM4qJMIM4BwDwfWnRs3yg/OeOazbtqNa6Dprj7LasuN79Rjt9aWJCio8rAyYztUZxUWEnuflGY425PqR/8AXqwAZSSWAB6nNO99hXtuMJJIJcDjOCM1E6hgFLfKTljt6gdqvbU5Ac5zzg8CmtFtQdWGMFs5/wD1U7uOrNUuZFabaw6AkfmKpysexBIzk9D/AI/nVyWE7Cf89aqNGcnd09+e9aJqxk4vYTjjqJCMkE/pmpY4g5zghu9NSPOe5J4FXo1VEKnG0ckntWUpamsI23Kc67bds5O87VHY0RwiKEpHgZz060rN597EMfInzHPYetWBt2F2YKoBxn86mSdrjnPmZE+Y12kAHHA7CqUqOAGwSOoU9ce1XlJbbO2CHHy571HKQ7ZGcEemaiTe6MUlHQzzIy/MgBI4yRgj8PWnRySbwcEj61ZMG9mVRh2/JvrSxQLn7m1u4IzirjNS0YczjsEbku0khGegA5xUoj80A52k80vlDYMKAop7qVQHPPcUS5epcJTew1IVz+8q4rxQxdgT2rP3lvw/nVaGSS4uipztHes3FS2NeZW95mgiyKWlXIPYUSAOA46Ick+tWHbbbgDHSqIkVm8rlQvJx39quEdLowlJt6jVmBkKOMbxkD0pDvTag5kP3T7e9NuIXcmVeJIzkgUQzLOXJPzngj0q+l0O2o8MMeWvD9ye5o+eE4dMs3T2oChiQxy46UI7dHG7PGD2FJ3RKtcniYE/u2yRzzxn8KSUbv3g4kyA3YfWoym1yrZBU/K1TxEuhVhkgAg96z5rA1cbE5Q5J/E9BVmYb496N8wAYYHv61VjTHIzy3Lf/WqxG26I5OXBx0wfypSSKUr6gPnkG37zHGMd61kVLeIKcZHU+p71W0yEG4Nyfuxghc9yRRc7uRvwK4K05SfKuh6OEpXXMx88gKEjAPY1z98JJATtUJ6setWLmSZBlQGxzgHmsS5vTK5IPzjgKa5m5J6npU6SXUoXsUsYzJHiPjJU5VsHimtLHtEcePm6e9LJPIhOBuH8SntVe3t4ppCA+3cc59Kn0Lk/5iEo0UgM2fLz8tWPLKTJIijaxq2YftURSQYZOB71Ape1wrLlQelMzbubWkD/AE10MSnv0q2YEjveFwCDTtEuYGvYpChGcA1ravBGJAyYH8SH3rF72sawb6HNFRHdOBx5nT/ZNUVdoL7aVAP8Xr9al1KYgtInBPDD3qpBJ9rAbP7xf1q7WRftG3bodbCitCoYZQ8q47e1RXEb5+WQso6gnkU7SZ98QjYgMOgPepr6H5POiyrrwVHepvbQ05U9tzPMZX5xnnrV+yuY3BiZRkDgioYW86Nsj61DCPKuVbeOG6mhO6M5LlZbut6yZwBwDx2OfSqy3zxbQORuPX0//VVq5SBrps85XPCk9qoyQRlAVZuo+8uO2KekkZN2IXujIM9V7j2p0LAOhlVngYYGBTBb7pMJk8j7vOM1rQWcttbqoYMQMqpHIFNtRWpK95jChUYVt8TUnleWMoAwPqcVZVGRDvKruPQmq7tDCG5DOemegrL2yvZHUqEpRchzQF4WEbHzANxXs3+NVAxQFgDheTxnGOmR2pYtQ8udTMd2O2P1p93Dm582NVxJkeY579RWibTtIxst10HpefvQQuQeeO4PSr8d3GNqsRkHgVRSJQu5mLE85I5pZPKLqGxj1xWfNFysb+wl7NT6F9tSTzPKQlWPQkYzSLI4Y8n/AGh1rKuQI2I6r1FWrSVp4Cj87TgsRVqCtdHO5tOxTjjK6gGiU7Q3cZroGbIHJx9cVUSCNJN5GW5wDzipJLgJG7sc4GSc/wBf8aUplR95eQ6K6C7lyufQrzn6dqzLjatzgE4dc4HrVVZ8yZBOCc4PWpZpmklg2FicZxnPenGPK3LuOVTmSj2J4lW5s5AWC7DkDqSaolmmIjwUf+HjANOBcI5V/nzlVHelt1Eis052tjKZqk+RNkN8zQsrpAiIwzIekgPH0qFUa4mCEohJ++RhTQqMz+XglG5G4dDV2JBbr8nKk52mrc2loQkr3ZJKxhUQ7QhwPmUbhUKqpUbACG6Fecn39Kr3E2bhgjEJx8pPQ09X8uPcfvEA7h0wfWtI00oqxDqNy1JirFtkbBW7sOQfYU+3Iluj5eRGi4ZCc4OetQCQMojX7p53DqP8auq6R2yKCN7liSO9S4q+wS0i2itqwzZkR4BLAkD8qxo7fIJGSQOtbE2HRg3TB5qCEJkAnGTnjsKREHqZzwuOg+UnAz0NRiLc3C4bGMHqO9bphUjB64x9O39aqvbIDkHByDxxj/OKqMV1NXJMpw2m8jPGc4/HkVoRYi2MevZv8aYXWNTzwDkGql1eBbYtnowI/r+lN2bszCa0uiy0m12cY5O4ike4C8qcBuXFZ0d1kkE9P/11Tu9RjijJLcsSfrirjB3OWUi9c6isb7S+AXAPsP8AIrKk8QrlSgZyFHA+tc9d3c2oXbsmdpJIAFdDo3hW4uSskzrFHnqfSteS5lzpGOmnXWpXTFEZgzE/Su78PaSNHUzSKHuNuFHoas21lFZw7YyxAOCwU1MMngNJ9CpropwdtTOTu/dJJGV85csw6/hSQ/I21WGG445B/Ck+yzkE7MjHGBnv7cinGCWFjuUqe5HX8+9dlOSRlexI0asyFfkZWwy+o9fap4/3cWSMDHQn0qGKKa5JjGMkYB6YPWn22bjeshJKSlT/AIVNWKsXKSk7jd3nSb5clB2FVJULSMQQIwc5x0HatF4xjcR9FFQFN3ysmO496y2VhRimygELtwDj0qC9N3HLbx2UgTBzI2P0rTYCGAsP9YxwuP51A0WwEegJz+FRy6+QXcSMIsjr0GB1NCoyuVY4xxk5qQAx7SRx6VMoLNlYiy54KdcVq4pLQynK+rEEexycBfTnINSiPYFYpgN0YdqVW4BNs3Qg7ff1FOUoSfKZhjqrf5+tc+z0I2IZUZmAP3Rzg9KqyOrMccev/wBerkz+VGxU5J7Zzms5oSIXk5DH9afO1udNOHtNUKCjsCNuc9jSEAfQnkAVi2K3SXr5PyFs49K6BIkb+EZI7dqJST9SZQcR0UvluWkB2c4ZBn8x2qyqkDIYE5wGHQ1Eq9Rwcrke9NyI3+VivGcFdwpcyemwluTOVLSH+LIO3sc1WnJ2k8ccZ6Yp8h3ZJxnrlGx056Go/LZ2Z7h1KlshelDleIpws9GVNjTZZuEJyWY9TSOu/AChhwQoGBiprj94VywChc+w5qE3CRbnwQD0HrXnz5m7AkkO2Ab0BCqhzx2NJu8sb8fN39adFNE+Azqu48L6mlkRvm45HH1FQny6MavuV5pSy8SE4GcYxVG4lPUFW5IHOCfy4NSyNtbI47+1V5xvGduzHJrST01NYU77FdbnY4XKj1DcjFTI+GyilEZiSC2RkccVQE2ZCq4OGqzA54BUEZJwB1/yaylJDdNx6GiEjkwzxq2OhK5xVj73UkdOaoptQfNNGpIGQ59PpUu940LYZ0UEgr8wGPp0prXY52rvUklbAZcYbqcGkgc+X8zbjnr1qF2U9GBH95TkVTlu4IH2NMwPUhRkClreyNacfdsdQf8ASXJVvmY7vTrzTjHhlUA/3QKcpVD8yh07AjOBTmdMh4+fTc2CPoa92M46LYw5puNt7FWWHLsDtPPPPFR4JI2gkYwo9BUzyxrkOTGO5cYpnykE7xjIO5TxWl+xGr1ZKoyixp80jdqrySmIGOPmVuOe1NNyxfbbKXfsT0FTW9uIF3yv5s7ck9lqVrqzR2itNyaCFYLdUIyQNxY+vfkVZjVWwzoCW+6pHb3qsp5yQTnr/hVjlVLu2GOOO4FRKQoxZMqQu4jX925ztzyCaXyJMEAc47nGajiUowbPIIOP8atxkyThnXC8kZ71Kd1c0hNxehUZJF+UxnA65H9KiNq5yeF7AdcCr0jdSOSO1Rvco0foe9VFpaM3tJrmSKhjWDuSQc5qs8oYnj92f4R3PripZn8x+ev86rsEClmBwc49+1aK3Uzm29ECDajMTksMMw6/lUrP+6YKRnpnHTNVxJuO4AkgYz0P505WVd4dS6oPvKMEE9CQOtO6uYNOxZkH7tQTkkYHvUSqfmxnAHfpinbw7BkIYZxkc0AAFGAG1DxgcH1rOVt2SoCRjAbHGc596hZCF4IBzwOmKsoC5AIHTAAHHSmzQrGOW3HFZyjqXBa2iVpL14AqoHkkPCiQ9Pr60+znmmd45whc4ZWUYB7HimeWqvvI5PT2qUJtOScDu2en0qVHfmHrHbQmljIARRknmoraINLleFHU09JHm3Rfdbq7ngkU5cgiNPu9Sfato3Whlo35hdSkybF6CqMfM8pXk9iO3qanlIyzDPHaq8QMcbNjDN1PStopKNkU/MtRSAoE5yPXqaz7tTFcxzJ2YbvcVKhbOVzx6ng/41LcoHi3jhe/tUv3X5AndE0Z82dSMcctTCOuPmycnjNMgby7cyNyzU+HO3LgjOOvX86ly0FuydgcD5vm7rmkjOxlwNozgnqPy7Uv3o8btzdww7UmMowxnkMFPcd8GstyrajwMSSAjjOBzwfep4IHlYlR143HtT7G0a8YyEkRA4DetbHlRxwhETAHoK5q2I5dInTRoOcrvYq7kgjEa8KOKyb+42qzKeBVu+hwDhiMc9awLvzBghhx2PeuRyue3R5YohnvZMcgqBzzWddMtynmocTDo3rUdzOfMHmcZON3X8KhiZlkyoGTzz0xWbZpKzHW0onyko2lD1/vVXuomR90OQpNOcZDMox3HsasRMLqzYHrtyPqOtT10MuZ9S5p1ws6Lk/vI+1TanAHTegwQO1ZFliJpRnofWt6J/tNicjoOSaZG5N4RAuZwjDlTzXR6/D5cZKHlRmsrwxZ/ZJDKOcmtPXJQLRpmOFPBHvWU+yNaV7bnBy3K3LTKeGXrVGxkMN8FOcHmqcdwY9T3NwJSSR6Dp/9etS1ti9z5nZCMH1rZ6IqELN3Z1FtAdqy7sEj9RWrBItyGQn5sZyO9UIJBNZfL69KZYXAN6oJJLAjjr6fjWTWho53d0Ko8iWRTgEdjUG7fLnk8/Sl1WYLeEjbymTjj26U2AYVWKD5xuyfQDrUvREzm5MmkkZpch2Xgj72elOVEeONXlGC2Du54/8A15qs8MojRtoXKd+Bk1LBHbxqXkk34A4B4qYvohODk7s1hJb2wf7PEPugFx3x/wDqpQ7yliRyOjHgY/rVaOYSAFAoX0HJqqZZVuuXLgngdlpqmvtbj20RJqg8tBP5m5142+g9axzOS3QKfVq2JJ1a3cKpfeuCV7/jWE6tazBH+Vsg/Mck1pG2vcUpSStfQmaMmJmwQg6luK0YLtZbVVJLPt4Jx+lZTytIoDHIA+72qxp8UjTM5JWMKRx0OaUvhuxaNpGgrFoj7MT+fFVpHDfKeCeD7Gi5u/KXy1XYvYdzVHztxJ5ye59+KKab95ouU+VciehoFzJAu44YYz/Wp9Pcq2wFSGbBwepx6fgKowS+YwxwCc9Og6f1FaVohHlSOW6mT5wP596XI43sZTkmTPuCjCn1xioROrRFZCSGGD6irQeFAAcKemBxmszUmRJg6dGGSB2Pf+lTbndmrMcajimuhEIPJk5bIIyP/r0C48qZ5gOF+XJqHzfNRgTgjr9O39aejLcMyPwp+Vh79q15XuzFz6EgV7iX7UDgIeVpJrg3sfHysOhHenidI5SR94LyB+VPt2gjWSU7fmOSPSqjHW73JdTsSxEw24Lr820Fvaq8Ec6zSEv+7OMA+tPO9rkPvBTB4pJpyFcKi4C7h8/NNR5ndk8/KtOoTBMAsOSwUNux71WZsvlWJOSflGG9uPyqOSdmEQETAnLfKu72705YjEXeRG3KWVfm4Ge4qnJR0BXepLEfLU7iA55bjH6UkuWZZPNKbQQfTrTmuIHXEnJz171m3zM96kPKwqu8DPJ+tFP3m2aVKkXDlSNKGQOPmI4JpZASu9eCeMDisxZj3P8AGP1H/wBarLTblADYyM5/uim1qYRk0yyLt84IAA7A1DJcZHJFU5JlQZDNjH8XOf8ACs24u5GOEVifUDNWosblE1Xn3jG7ism/u0MqwqfkQ5Y+pqER6rNxFARnueKmtvC9/Od1xhFPU5zn8auNO2pEqi5bIoSX7sHWEEluAadb6Heag4LcDGMk11tj4ds7Taz4lfsP4RWvHEq4AAA9gK0ehySa3ZlaR4Wgsk3sUkkAJwFzitOGQBgAowD6VcjPlMck7cHPHaqMafJ1J45OKzVZapmE7tXXUuK263dgSMvkc/gaqtPKWYbiAOvNOlkCqB/CowBUXmKxPHTlj64p0p9xNWJ4ZJFYSBip9u9SGOQjKSsD7ioopBv689zVnawGTzXTGowtFkKpcbsOeP70YwauW9ssESqmSB3PUn1NOjGdp7HjPpxU4ITBb5ePwrTmctGWo2GCLL5Izj35pLmJVjL9lqRtuwsXjK+pP9RVUCWaVQXYwqQdr8k/Q0N9C1HqUTG8kwnkUFgCBknH4ilwJmYEfMuCQ31rRnRQmV9cYqgw2ybwO20+9TG6epNSSew2VNrB+cf3j3NTRru5LcdPu460pXzAjLggLtH1zQQ0m+JBweDj29PSqk7GCXMI6tHwTkrn68VDLKeM8jpk9RTpJII8rvJfGDsPP4mokaORsrKrHovOMf41lJSepXKluRthsySAqB2FNnkLMIwPlqw/BYbcBVzk8ZqJEYDJHB5U1E5tLUcHaXYasCpGSME44IohkBAHRqYZSjbenrSRoyT+hI6VlFmlSV1fqaCqTk4HB+6RSNEGAjIzgAD160qP6Yw3G3tnHamyyjAweQOc/wCFaxl3Oe5UeJlO4YPtjB/wqNpMpI2/yii5w2B+NSSS5OOmPfpVN0kuJWVwDbdOR96pm3pZm1OcUnzIPOMvVt69ztxmiW3Voy7npwBQoWMbYgAucZ9fpTyRhjnPp7Vz1J66Gd+Z6Iw7yzmvNUtyMrFGQxx6iuhkkXZg/wAIB+pphTaoRevVjVdyrjCEnHfHGa5/apq7NVGU5KCZnXcmJDjjmqbXu6Mxt3q5cRCVuARmsx7fLHGT3wKtNNGsZOGjACFAf7xOR9aarsFA3c9cUwW5XLH5mx1H8IzUoRVUMVfG7aMDipUVEmpVcyzA6oRtwV4+f2q7E0b4IG1umQelZyw9FHTsO9WF3gBzy2OuMH8amWpklqLdQxzKzBRHMONyfLn+hqpHfNbL5YjU85JZeavSnIDcbT3qu4hDfOgJ9amMpWtuVKKb1Vjq5lCu0an5Qcc1Fn5MAYHr1psrshLMDtPr1qNGKuXLfLnAJ9a+hTjy+8YJSXwEmJtuUbBPTB4HuajaOEyZdTM2f4flH1qSSIvgsPl9c9aaOCTj2VRVJQZL5l6gJti4UBAOyinrJljhDk98VG3ynLYLHoo6VIoaXEZbj0HpTeuiNIQSd5E3mRrgIzNLjr71X02C4/tCa6u23F/uKO3NSu6xSrEi/Oe+KsRttLy8fIvy59cVnUgktAc2tEy3gZxyQOSfU1I8yJEChG5qrQkiEAZAxz6UDbH+8PT+FT3qE0iU7O6JduPlY4JGR7VTuFBJOdrf3gOD9R2qaR/MUknDdSD2qs2ScKcE9MGq0No1GloyACVjhV3f7h3VIsLMd0gAx0APSmsgcMxPyA4BHVvx/GoWDJyuW9ATz+Bq7QsZSnNvQkeMqTsA3HjjtTceVhMZ53EjrUyuARs+/jke1NKdh1PJPtSty6ApXV2RMu4qxUbxzuDbT+felVpQEYyRmIKQqhcMeepPQ0EZ+mMKPXnrTmjwo3HOPSnfuO19hTdyxKWEKk4++pyR+FSI6SorlgSaqO2wFgCTnIxxwOn60Koe5ikmG91ZmG04/A+tNRbWjFfkdy6EXBZwMUzG795IvBztH9aikutzDdGwDHA284+uOlTCRHOVcMc8YNQ9NxNuWoirtBeTKg9T3xUiTN5TDaQCOuecUzI5JwM1FJPGVALf3cYXd/KnB9AirO/UZNkg7RljwFJ71EwCoFXbkd88inmaJyQJApPHuB+NPbGNsQVVHQA849a2tZaFSbe5VUcYKFkz83NWIX2KUyHU8bc9qrvsyS2446jsKeJoEOWZl4XO9fT9aiTurGaVmKgCoV+bajHk/wB3sKkjI42nkdh0B+lOULwQ42+qnIppG09jjlT/AErLcpXLEUgWRC/MbenIxT1haUeSp6t8p9BUCDI+98qnv/St3T7cQRidxucj5QRwB9KyqS5Vpua0qbqTSRdhVYY0jiQ7EUKABTJ59qnH51I93IFySazLy/R0JJw4OM4rz7J6XPdhh+WNyheXWDjcM8gD+VYVxdbSTkEZOSpwOlPv7vIZlYge3XrWPLOcscjgbvoP8msrNaHRyJaj7zbIc8FW9KrWu5hIj8mM4z7U/pborYzjJzxk0qjy4nOfnYgn24wKFroYMRiTFhT35NSWqCG0yFzkHkdajA/cMzdhnqP8mmJIZAFI+UDA9qqwkri2ysxcbASfet3SZGMPlsBtbggViWyBLhlYcqeB1zXTabC0MGQB5rc5/uj2pNIOU29Kt5FnWNcLGvLlj0FVPFJLjy0b5F6ADg1r26RxWHGAxGSfU1z2pO0sbZrKUnfQ6aVJcrkcLdQMXVwAMHPWtrT5o2SNF6rjPPbHNUrtNsOARnim6JA6uZZCVAGOe/P+FaN+7c57+9Y7G3T7PFIDj5WBFZkdykGqHJyEyfbjmrEk8s5/1jKhzgcDIzWNcSP537sckZ/Pisld6suWmiLl7K91fYQkgLtLenetL7bggRJnau0senTFY9uXZF8xmY9ABwK0IonbggUrJ7lwg0iC6nc/PI5dzjAHQUnmMYQ275ehAPeptRt40gVmL5Dc+nP0qCCGMW5yGGSDyMZraNugOL2Y6wuJFu1XqhPPvW3MgAORz1wKxHukgdTCoyOM+la0UnnQfUVM3dXQLR2YiyKoCPlSAvRfekaCCUhlUEgHBIzjniq8sLtcZAwu0dTilW48pwow3zqCc8Y6Gslp1HIrLZy7iGITavXGec/4VowxpH8qKWYHG5v88VIRudlVQSD8xNOG7zF3SqThic/Spk3LcnRbFG/jWWNWZ8uHI4BJwfeqkdscplW5J4xzj/8AXitCZ+FzPgY3cClswhdf3hL7ckmtoXSRDa1HW2nqmGlyp24CA4JJ9cdK0Y4kbKoCudw4PY8f41lGZhKUB+YHr71oQSs4VcYI5bFDk2S49hl3DB5G9C3mL0yeDWTcKZlBB6DirV24MjDdwBzz+lZNvcuiSM/GSdo9BmtOW8UzH2jT1FKNbuVJzhQST3xz/jVjzFILA4Oevqeuax7/AFUBTg/Nj86yZ9YZQEU/Nkk+3oP51vGF0YznqdY0sMdx5uc5HzY96zZNXSJHj3hkOcjP5Vyst9NKMu5C9AM9aLeJZ+WQHHbtV8kYrUhNs3pPEmGX5iQNoGWwOKrSa1OHk/0YEEBAX4yAaqPGLaMSBAuTtXA60w2xcbskg+/SnFxetjTleyLY167UrsAVU9CaJL67nZZnlL7+445qkIHTIHerFgvMlswwVIYCqSi3oi/Z2jqWI726TgSOPYNUqak6H5gp9TnBp7W4C9B1xj1prQqvGPoP8aaiuqI5ewo1FmDLHGWJCkHoOBjrUtvPO7fvlDqTkhDt/n1qNFGRk8VrafbLIQOuaG4x+E0p0nvI1LKKymjWRkLk9EPGD71pIIFb92q57lKpx2nlsEHTnpV5ImIwVwO3rVxqR6o562Hk9UxpjRVGECjB+lNYBBuHB9uCeKsvazRgmPLqRjae/NVXCuCT8rEng1soxtdHC3OLsxolBOOjeoHv3HepAGX5hyvTcOnHH4VDtCE4GWH6etMR5FbcGJbB578nNY1FdFFqWTdbOVI3HCD6mnSIIxlunao4yZHywHyMvIGMk1NeYc4ry6rs9DsoQTWuxnSyFyaiTJJDHCckn15p7x4bsf5VHk7fQYPSnCpYwq00ti0jdTgKc9OtalqxRcZzn8jWTBliThj3JxV2ByMYAOeRk4rojU6nO49EaIPlSMFPyOPyzU0UhlTfGOfunBwAR15qO3j3HzHbJ7DHAqSP5WkLDJJLA1tConoaqMgFopfzJcM38OOMf40rKCMAYPcdj/hSvOAmVPSoJXBwwOMnBFb3a2Jcm/iIn/1pHPo3tUEi7gOOmDz2/CpZmL7G6sw7fzqNzuUjgAuRwfTmjmuRLQFIjhZWPzA5RR+VNkVvJECkjd9455NJJKsTbjlnIACDscUsEDyMWk656A1WkUZSld2RHiNPljQADp6mobja2TIoYgcAjn86muFwxQcgYJ9PxqBShTLOoAzgjoB2qH7yLV46ipmOMo3zRnqhP8qnyJQGU/Kq8qBg/lVcZbI3b93oaVQVIIOCOPQiud6OzHKXNqMmRROCVGecD2pk7gGMc+nTqRViVBOisTtYH94R2A9KrzRPO4KkAZJ5PAB9fwqNU7Eva4sTncoHB54x71IxyuCwJOOAOc+1QFoYjtBLMe54x9KkWVV2hERT25OaHNXJfcGgMakzld2flCnOR71UuJCQSeAOAOmKdNMAhOfmIzknB5qjLMu8Dqdw6qT2qOYWr0HSyAHCgYXjOO9Wdw8xIf4UGXx61ntcnPDD757DrUySKdxMg+dsknvWcld3ZpF2Vi+8nmKSMBScCqMkbvcRNllgjyW568dMVP5kkiAxZVQOCV6VC6Do8js2M/N1/DFZ3jGVxxg2yFisgwvCn+XpUEkS5K7ecfdHapnWUNhJmXtyBu/KoT5gyPLVxySYzz+IPP5U3NNe6rFy1erIHjJBYjAI4yeB2/nTAjK+5XAPr6fhU42lhjcX685GPzp7xBuuXPXJ6/gaLPqxXW1iNV2nEq7WPOeoYe1WljGNxHI4z7f1qCEkB4Sd6kbkyeR6ip4jkqygnOQfai3QG9LiLCpLo+AH5B6YNLFpc86b1KYzjk1YZfmiYEDqGx3FPa48rCjOMdjUpPZFxvU1L86h5GYcdcZOaqvEJohDOMop5KnC5PtU5f5j0684qeBVIKH7p4Y+hr2uayt0OdN7oVhujVFBAAwPX86iMZ5AGfoen1qSHKTGBjgDvnr7flTpjztAxxgDof8A69OLWyBb6lFiqhtuGOcdMU22dxOzhsqO5FSyRZwM/Lnp/wDWqRYfKXccEDoMVvCSIbZCmDcs7ctVg8wMVwSOozUUSsWLY/pip2AEDYAy3XjrSk+bRAlbVkyzJEsUeVzJkhe/FDox5Y8n+9Uds4EQlUBuCFz2pzjJUMxJC5IA71hJlyi9yMjzHG1iy55A6018qGBAQEkMV54z09ql2E5Z2AThVUdTxUfKcITGAONvB+pppiGhlJGQxUfdXp+lNKkgM2CG5wO31pd7McyvvOepPKijcY5Rzjgrnv1puTasHw6odEBFmNRks3XuAfSnvGckKM/3j0ppUcAkgDrio2Z8AMxYccFsHr60oya0kJ66iyKkalncsF5VF71JE5u9zLD5SKgbDdcmo1KtIiEkO7bfnGB3PXpUkeDvG4hC36VfMm7MOay03IJELHAOFzkmoGTJbHboBzV2UKW5+WPHr1HvTWiBU5GFOCRt5PtVKXKWtUVVUhsoPuDqOef50rbTjzEBjB5IPUZ4wRzUwXaC7AA/wjPU/Wo9hJyQS55JHp/Wq5mxNW3FhYOhILpk8K53cfWnGXZ3A+lRMGcbFG4N2HNKkGW5O2MDov8AWjki+g4q+7HeY9yMbFKDqzKDn6ZqhPYwXEyKkkkDIdzeWxwwH16fhWg5VeASE7VnTnDh4/vLk/hS5eV6bF86ScUWS7Ekbcc44/nQkmcZVgDxk/WkTZKNzZ+Udu2RRgj5QcZ4G3oe+cUPTWxhvoPEUL5ZVCn+8nyn/A1MiGXEUpBbPyvjrUMLcngfKeAD1p7yPEXRMNIy4T0UmountuacrJ9OU3AXjneVYfSukeTaeBkAAE1kaTEttEF6kcsx7k1qyF2QkFdo6kc1wV5PmO/CpLUqXd1t4xjt9K5u7maTLIMLnPPf8K1LzkkFgATnCc5+oNYl0xKn5kIHHTGPy6Vy31PYpy0sY9xITKAevYVniQYZmydxACj+LFWLwuHXCEOrBlz0Prz06ZqLTFE0kk5GUj+VM/59quxUnpqWFhuG/eTSLHnkKF3YHvS7AvzA/KOQwPGfpTpXAOXYgDqR1NQNLk84U9gOhotY5nqOuX+TaABnqB2psWUHm4yAQBnuaYsbSZf/AJZj7x709CGZQo2ovCr6UWFd9DTsoN83nPyM5b+ddBZBrq5SSH/Vr9/6Vh2RaU+RGMnua6KzkSxiaNGAkI+f3+lZyHboaV7PDsxFwRx1rHvOIMOpVm6UCZ5J/OXG1Tkg1avJFlgFzIPnYfKvpWbR0U5rZnLzRInLjO0dKp28zXV4F6Belas9vm1eVjySa5/TrhY9VLtwM4ArTluhVJxT906xI28mTAxhcFj+f9Kz5B87EYGQMfTsK2oFSWArz83P1rOkiInI+UMeSCcD8DWVrGy5XqVoshsDqDxxk1K07iYBpGwSEAK4GKc8vlqNnDkZ+b09qqI7iXO8gZzknIoavuVGShK6NS8ZhZh0nXOcZYVVyWSIyS5+Yg4qa6y0EatGmc5+U9arynZbrjrvOAw9qEtkROerZRl2l+CDW7pefs7tjvgsTWIQCRkbSTwR0retRsthGvTv3/8A1VctrHLHcLsEW0mwqG6ZAyfzqj5bLAAxw5I5HNXZJlRQEJJz8yg0SOwwVwysOCRWdrHRGfLoNZo04llIB5IU9amVUlQNERt6daw3Eklw4bgg8irFvNJbHC5K/wB2jS5i7k89nKCT1GMfh1/xp0MbRI7N1AwPxq/b3KTLuzU0kKMD/vf0/wD1VV7EXKFupLDjnrnFahjMFq7j7zLTbe3VWB9Bn9KXULhYreUgjAO0YPbFSldjlOyOR1DU47eRomJLDk4FZF1rKGF0VvnbA+gqnrN2J72RhjJUA/UVim6aInEaAg4OF5r0o0oqKZwyk2y3NM0v3VY1UaObsNv61YhvHmGR82OoHUfhVyBd4HuB/Kjm5dAjC+pkLBJuy2Sx9TXR6LZnaSRlfemrbqccAk4xXSWFqscCAD3Yis6kuaJbpmVrNviFSq/6scCsSC6ePIYcY4967e6shcJsI9zWHq+ji1tDIByQAKdNq3KCck7laC4gkB3HaR6jrUflOZPOQENyFHcisYysoO0njpWhDfNG8T9VIG4elaJWZvTmmbJlbACLkkflViG2LKWYHcR+tQ2kkUx3jpW3CqhAWHUHj3rS99yWuyM82mWJA78AVeto3jkxGpJB5q5HDkE457fhxU0aQgbWLZAA6HGfrWfLdmsZWRZt3kGPMhdSe571pLgxFl6r8w+lU47coN0BI/2ex/CrkLruVsYDHaV9OORRsRL3i+oICSJyCMion0+O6dwo2OAGxjqSeaNPlP2MJnlHKfkauoi5eRifTihNwlZGUqSnHU566sZrciNslnbhBzx1yRUPlHncMZJwD+ldMsZALLkE8cHtUv8AZ1vOmWjyf7y9auc+bSxzPCSSvFnLqu0gY5++3vximScnJPTr9PrW/PoMiK7wurhuCGG0gVmXGnXUZz5L9slRngV51aEuiNEnFWsZTqXI2/fI4I9abIkYBK/MueSBVqSJ4gx8tgWPUjoKpsx4X8BxWCUlrYzqvW2w5TkgtyM5APQcVbjyoz1OBVOHkMG4GcfjVmFwBhiAT1GMYp87ehFOKTNm1mTy+ox0qOWUxyFhgr3FZqybCGBJ4z/+upRK3ksX5LDH510wl0NJJLYsOw3kdu358im7iWGfqfpUTSASRgnlmbP/AHzj+dHmKoO7BwoAA7muqM0cc72F3N5LcgDJAx1NR7WySG6jGP5084wm7+HACimn5nPzEnvjjFV7RdCORvfYdEqKwKj5j3NSFmztBJ9ahC7WDb2zn8Rz6UiOriSQsrAtgEk+tRKbtqWqa6EUh3fKw4IyQOePwqCQr5mdgHGKuIqkDaY+h6EnvUc0Tg5DZJ7Dg0oz7jnqrIhjZODtU8/Q9Pbr0qVscYDZ7bm/kf8AGqwOGyRuA6461OHDgLuBK/dPqKuTUkc0k0I7pwjofXg1Vup41fByc9zkYpZpfmKFSGX1ovliNpG7DnP51zyWmpqotWb2Ktwm6SLdJnJBz6e1SeY7DepG09B6CqbxmaRWVwFBy2f5VJIyx5KnCds1jKTUdSa0ot3irD2lIABhBGRyp44+tV2miWUZhPUnlvw/wpI3laMeZ3PUGiRI4wCyhsDG/PINTGfN0Ig7kL3ESgZgRMZx6881JDeJGf3cC7v4S3JqqEVHLMdznkRnjikiJDtJ95mOcnggemKtpdjoTSWppxXFxNIY2GAqbskADr0oLDopBJ6+pqoCWXaGBJ5I9KsxSNG2WUOfXuKjbWxUYczsJLAnAbJOcnDnP51UkgVTlGdSP9rNaT+W0JmRsseoJqq4LAEgjPWmpO1xzpcjsVGkkQfMMnsyf1U/0p9tP5szxqMxBQS2eMnsKR18yQg9ssR/KkbMPzc9Bn29ad777mTsk0EvyMzg4Kru4FTIQclM7Tycc1As26QoTkEEECkhJTahO4AdOhpN2M7msMPboCACD170sCEx/MASDjiq6yJtCs2Ofuv/AEqQb2JaOR1BPIA4zSuluOEXLZ2L7uhkd9w+/jH1p8EiyEJH8zHq2OBVNyVdioXIJ5z0/CpYpN3CnPqB1Ney1oNQ6mhIF2iM/Mg5Dd898VDlsEdVHPzLkCljkJG0gMvoD0+hqRUlncRJDIQPmdjio5W3sap8iI0y3y4HoWJx/wDWpUfzS5dCoQ4UEYOPUetKZImYIBwOtEzB2UAnaBwKuN72sZSS3EjOxTt24PJz2/wqK5kzAFUESSAgDHOP8mkLhmCk8ZySOfwpjHcWlbA3YVB/sj0rWKJv0LSAKFQA4QYC9/qaeh3NklVyeoqsu7oWC98E9B/SkEo8zAwyL02nOaTp9Q5rlliNoYcHAOXHPPvSEKSeeCeN3GcdhTFf0O319ad5wHByT3BNZtWNYwvuEkW1Q3GOhpqRZ46FsED19cVLAfMMqHOCwIHpkYx+lP8ALGGQ9f65qb32CcHEUINrKMA55U9qhkiUKWA6cAe9WG4Dk8rjdhvT60MWXqAxHQN0HvVclzApGJopBtOGXkkHqTQJMEb0H1Xp+IqwrK2SQVYnqeRn1oeLy1JkAVfX3qUpIpQu9QCKV3bsg9w1MMbsGAwo65PT8azRrUUWqmxKFsqDvHY88e9XZHDYBBIJ4weKE29LWG4uI15oXmCIwY4xtByufrTkZWjYLwQfmBqMKhUgY4FNUFMt8/YE9eB64qlLldh61U7rUcVGMj8MnGfTHrz/ADqGWYqxCZLdM46Dr1qxJ88bBCHGO3NV1gDyZP8Aq1PAH8R/ya3jJXsZttIYfm3HGRu2A9BULnLqoP3mxnpU8q7cDbux07ZNR5I4bpgAKB61pJ3IWo1CIlKhvZ807DH2wOOe1NxhSTz6ADpUiAmQAdR37H2pR0L8wb5GymMsv5Gp4Qowo+93Y9TUErL5wii+6pJPvmpYQQ/uKwnNRN6dNzerNu0TAAXOfapnlMYJJCrnqD7elV7WVXTaxHtkYzT7ghgOwA+tefV7pnr04qPutGbfurRMx+V16jGDWPcsBuL9QcZ/Dn+lX7nh8udwA471izyedHljglsgevrXN5nco6GZct5mEjAyeSfSli228IRCFA7ntU7IGZnbA7ADtVKRx5ftnGfWrgkjGpNsjkk3vz9wGkhHmHe3A/hHrULtnYnAAG5u1TBsR9O3Aq+UzU+hK8jMQRw47CrkECKBcS/6z+4On41UgAKmd+pOFIoWclxIxxkdPWpaLtdG299DFABAiRnvtGM1Jb3TXUAlkJyDgH1rm57gFwAeta9rOsdsueSBwo6CplFlRinob0HzyKmeBzIfX2qzdEyfToMVS0P9yjyTLueTp6KKuSfK+/Oe+Kwkmi4wu7IpXcZceSOgHNcXexmO/XaCBuruXbLALnLcfU1zWqW2264FXSm9mZVadtTpdInDWuM84HXFZ+oXISXcpIPv2/wpNEJ+zPJnGBzVDVJVe0WeM5BIIPbrSbu7GkYy5eZE8kweISKcHoVos186cKpITr9PUCsmCYu4iU8nr7en9K3bZPKtghIXnDE+vrUttCi2yzMy/KDwOgK9jVK4kLQIS2RuJ596c4lydrKQQOSepzjNR3CeZHgfI6gtjsRRewndogjb/SI8E8tjB/P8a34TiPDAKSOD2rnkhcuCoOVww+v/AOo1qteYgZY03HHA64ptkxvcRmO7J6j/AD+NaEabkBB3KRzWSlwA+ZEIAwxx0qymougUJDgHg7vQ+1FpMpGk8C7fnUH0qlPbAKTkDsF9adBd7mHnMpJGDlj/ACqwZFADAE7x07Gs3Fp6DbKOx4ySNwyPwIq4l/sixIrfeBJHNQ+XuG5T8o4OWzika3Y7GjYEHr7Vav1M5J9DZt5A7F+MKCfzNcv4ovzHbbM5ck7gBXSwt8iRBgCVKnCjJ9M1wPid5YblkkUhiD16H3rSgk5GVRtI5edzI5yTnpmmtF5o3nAO3JP6H6UudzAnAO3n+QqzCF3btvQ9j2P/ANevU6HHZszo8RMM5HoR1FbNoSTuRgwPUev1rJuFxuBxkEkEev0qS2uGgkz/AA9wKmcLmlKfI2nsdNbIXlViDx2rptPG4fXrXP6XNHcAFSM4rooQIwGBFc0o2O3mU0oo0VhwNxweQcGsXxGrfYdiDLHtWv8AaA0Wc4am20aXjb5QD83AqVGzuZuNjkbPwfNcae12/BwdqVgNGYyykf8A1q9wiii+xtGo4Ary7W9PFrqcox+7JJ/WtIzuzOPupGTZ3P2dxz8uc102n6iJAMkcHPNc1LZAjKsR9KgVpbUjE75/ugCrWuxsml8R6NCwlxn7g6D1q9GjbcqcewrhdN1p94SRye2DXY2F8siAk0NPqa8yt7ppwylco64ftjowqQSANLMv3UJ598VUeQuVRRmQdPbIxUi4CxxksypjI9TTS11M5abF+2BitdmOfvnirfnBV55GT71WDEk5xubAA9BRIQqdMcZzVqF3cIWtY0oZwyjnk9OasWl4hQD8KwGmaNc5+bpUS3TLO2P4juA9+h/Wm7bFuKO085BGGyPQ1dtij4KgVx0VzNcFVU4Uck5rpLCYIoJPSk5K+xn7JO3c15rO2njIeJHPcEVy2s+E4p42ktEEcg5AHQ109vIZb5f7pU5q+Yx5fAzUyipLY56lNKVjxW5hltJ3jkTaYzxkcCoQ+F68DJwa9V1Hw/bajbESIFY5+Yda841vRLvSpGDKWj7MB1rz6+GlGV4nM1yaFQNg5PzDOAaes6Lj5gx7KOazY5PnOSdvvUglYsFQYzyOKxg2tyWXlk8y47bYlGT/ALR5qQtznpxkAHrzVWNgiBffJHr704ShmHHHU+/+TXQppGbXMSljnOevHvnr0pVfof4cjHueoqDzgGyqsz565wB9KcDNINy+WTjHBwwx7dK1U4tbiu0WEcyOq9gck+lOicuQikffLFj2A4FVVWTpuWMfQk/4VdtjHAm1M5PVm6mperubdLdSQl1IzIpHYbSD+dQStuBYcgAkqfarUgjeIjqTWO8zRzAMcndtPuOxpOb2ZDpq10K24nIycdO5/wDr9aYZcsCSM9D6HtUkbLlh1xyf5VRycqzce5PvTjI5pouAeZJ83JHBrMv5JPtIjVgVB4B7VoiVIV8w5BC+vWqHMu6Q8bqUnZhzNxsMic4OT8o6e5qKUNLJjJOOuT0FTuvlIzHhjwvOMVAG/eKABjknnqawfvGcokwB52noOPYe9NlZFG6RSNxzkdzS79qbVG4OQeuCPpVeRtzZX58HGCORSTshxViGYsT+9wWHRl7UiDDgt0PQj/GnY4DBsr1PsKfhYBlsEHOQehHrmpbkzSI8EsvAG5eCVH8xSmYrGQVyPTP8qx31xVmZhEPIQ43/AMX1zWrEwlKtnIIzmtHTnHVnVB6WQaZE4klMrsVZiyq2OB6VauH2zBQD6j8KfIiiIMvBHpTUVZVDdSRgVEn1RUqnM/f3K8Y23J3fdAyfeo5uhAGQR/Opd+wsrYJIC/5/GmOdwDKRkDnJrW10cU9GUCxSRWUNlf1FWA0coEpBPQll6ioJyE5bGT1JznNNUFSJI2we+O9RczNHzmcARyrgcYcc1NFcSqpBXv8AwtxWWLpX+WVAP9oU9boRZXfkZyD7UOLe5rBX2N4jncSSR6etCHbIq5G5j90rjiplQsxVRls4A96R08iTac+YOGz2r3YSQnfZEjuFHUdPrSw3rICgZlU8ZHBqpLLubAGR6daiAMjBMDk4wKJRTVjSlNxlqaRVnkbPXAYnPrSRLuJ3PgHjj0qOdtzyjaD8+0YYjoP1psUrKGYBQoOFAOc1mqjaQVIJydiy0S52qW2+gPWo9kasE2iM4JOwbfpTo3+cFiCO5/wqGEtJcSTcE5wgHYD1q1KT2E6ajuWFtYGbDjnvuOaSULbsGt0Ab1AqpO7+YNuQ2evr71ftmRgA2Ce9Uoyb940puKdkieG7EtqRcRK5I6soJ/PrWHFmK7lTJaMJuBP1xWreyLDGXToOoqnbRqwLEEgkBiPzxWkrOI5q0trFmGTywfUnNWHmEjbsjGQaosrbeTkgc/0/pTQ7AnpkjJ/OsOW25lOfMrF9j8hUMyn5kz/n2pWlBbbnn1PeqschduB1O8+1RO7SNlASf4Pr71PN2M0urJZJgqErkt2B7VGk7mBWuvmcdOcg+9KsY8zH3pD98np+FKsi/OkvVfWmry0udOHqKDu1cp2mnot3JeSY3EYArStIDImcnJP4Csz7SZiyAnap5rWtrhUtwF49K1m2lZmdT3ndaDzbovPQYOR7dqrFMxu+Duz8nNTmYPtTGSOSB+lMmf5kQBQvTrzmsXZmcZypu63KlzDvkQN1GSSODntyKjYyRn90+QOzjP69RV64BAVAAGI545FQpDvkIwx/DGBVvlavbYiU3e7GR77jcrRldihvm7/TH4VGylDlt27rgdallC78KQccAKc0zYdzHcVA65Ga0U00TFO9yIhnVUB3OxwMdqG4KxoeEHJ9+9L8yHIXEhQhcdQDxnNB2xuBvUY4AJwf1ouluatNjIowSAfvdSKtQffHzd84x3ph+ZQ4IA6gkU5iweMrtBJ+bJwMfWsqklI2oqRcDcgkhscjHOPX6U95wQFOBg9DVYMiqwByaSQB+nWvPqxaeh6lGXNoyC7YOCOhPBJ7VjShQ3A3Ht+NaM0jJnccise6u0Geh+tYXsddp2sQTupXAGePw6+lUJ5hyB90E9uaiutRRF+Z8KKqrM8yh3R44v4cjG78apRb1MZSs7IlDCRyqOS/XawxmpIm/wBHOfXOe47VXwMZ/iboPQVIpMkkdugJ5AwOwrWNzJsuFl3RBh+7Ufnj+VQSOZZxg/MxwAeP16Us7jzCAOFHQcVVXeDI3luTsx7cmhmsXYejMbs7cFgvB7DPGc1vWyrDGuew4J6VgWrnzHAlI44UEevpWtBgYOMe6nFTJ3QOTublvcOqkhsE9/WteHaLFS3+sOc56CsG3VpZY4lYpuOAyjA+pHStxCjsAh8wA4AHQmuedy4Tu7jYk2L5j9uRms++tpJ45Jth2gcZHWtcoM5clz6Z+UVDeRtJbyLk7QMYzx+VRFu+hq7WbaOTXUgbVrWEFR/GxPNS3hjexjhjACqAAtVUsvLiYKeSf5f/AK6ljheWBezgH9K3fKjnjOTXKJploVut0gI3HO71rbmjySjNvUY+7VS3DC3Uj+H5jnk5q5GFdGIxu/2hWTnrc2jHSyI44Vkk44AAOT2qmJVSdi3zHpyav27geTnbg4DYFVLy38q4zjCt09KFLUqcLRQjXMkh+cqVAwFAxU0ExdxEZNhbICAYqvtIUdcMOMDr/jUZypBU7R2Ib+tC952JvyouO7ox35U+gHI/GpoLmGYMN7Ak0Qo8kX7wcHqGGCfes8RGKdkyAegB44ojJbMucGkpLY1JoONytkA/z5FWdPLPC0QBLLyB6j2rOglkVsHlSQCPStu1MVtHsHG48EHkUNMybHxWywKxjyQ3LA9qjl8u2YSxndn73tVouIWVX539GBrGnha2vD82+Jz161PNrZAlfVmmseZlvAvynuP5GuR8atI06u65GOD9a7BXSFFhPKY71jeIbMT6XIpAJUblOc9K1ov3rsxqbaHmofJYCJeh4P51aijZj/qV5GODUr20ajcZFXPTnnpSxwRqVPnNt3Yz29K9OOpxspXkZEhyCGxnkc/5zVT8Pb+lbF1bkJy28LnDf0rPkh9Bz/8AWol2Mmxba9e1IeNiPaur07xHHMgWQgN0wa4co/4Gi3DjccdPXtWco6XudFCdtz0mfU0FszqQcVa0u9JtFdnIZvmrziDUgkTIpJbGeehrbstbjVVUknjnml7NqNmbxrKrLyR6Pp+qZiCP26Vla9brdKWUZI71T028RogQwJz/AErQa4jaMIWHHU1lFe9Y1cE46M5QWs7MIkTJ6Z9K3IPCiGxaeT5pSv5VqWotlYcAe1aTX0SwFARitm7bGE4NLQ8muLU27lSCJEYjdWlputtbSATHC4wG7Cptbjj+3naPvktxWVJAZP3ccZJPemnfcUajgrHo1tdxyJlTkvyT7VdL7lDL/F1x2NcRBHcaRYRkzBpG+YoegH9K0LDxFDPhS2GB5Q0X6Gy97VHXRXBQlcc565pzzMwIGCvqPr/hWbFqEcoHI9vatBJYhGDwTVxkhNtAqEnkcjoDxj8PpQig3OF5McZHTuaa87EDbjnOCTTYJ448qjbvVj/EaasTzOxsW5WNQAeMADB68VdS5y6RhgO55rBS7Bbarex9hUgv44AcHJ65B5FK6NKfMvU7fTrtfOODwF2j6d63Y5RInXk9K8mTxPFHNtMqjPB5wTXYaVr0dxGp3ABeeT1qY1FcdShfU6mVsRhR2/nVa7tYp4DHOisrDkEZFVY9RjbBJySfl+nrST6pCvJcfnTWru3oZOk0uWxzepeA7WYtJayvE393GRXLXnhrUdOYsYhMgGN0Z5H4GvQZfEMAIVWGamE8N5CehrCUYSvYh4FuPNJWPJJGeM4eJ1PoRTFlZ3ClWUHuRXVeJtMeFTLGDt68VyighSfWuWUFHdHFVoyg+VMuJj7iDHOCD1qZk2ZAGGX9arWrMu7OCAOQf6VZL4RTyV/hHfPvUJWldEbe70Gl+4OQB17VXlugEO3n2/8Ar0XDbQO6Y6DsapctIMYA9a3euo01A07WZjDlzz9ap6g24EKCTkbcdc5p4lCIF6CokxJL5jcBcYPvWSTbsOdRW5iwVKq6H7x+8RVeXHkh15+bbgHrUzBemFPGarvEm9c4z69OtLmtocjbZDcMT8hPCgZzTo224JPB6L6CkmQZZlYnPADc1XeNupcgjrg9PxqG2yuZbIlnYyPuzwOBmoMAt0yqjmql7FPJAEguHUEjJbnIq0kga3WPGOcGkr9DSXLa/UVyzEuoUbuFx2FNdRkypkEAAZ61YaLC72wB1HPSoDcRQsHmYurc7V707S6ImEUwVcEyZCjBB980yWEywOvmxxRdSWPX2HpRGY55N7MQmeI2XGKjuU8yV1wGX7qDH8h9aISipWa1R0youEVJ7Mw3spZJPK8pliH3iRw30rbs0MUCRj+EYqdBmJcbsYyQOBnP/wCugADORk+nQ/WrlUaVrDc1Ud3pYk+05BXuO1V47oQyKCcK2cfX0qCYtksp6dfaoWl34fnHBUe9KKuYzkac8wYBwM8fMKqh1bdHnBzxnoap/asZ5PHX09ab9siIz5iqQMZJH+e9WtEYSSbLbgH72T71GAIjtb7jD8qqm/UqVgKv6ntUbCWQcyHHTA4FJx1uJRLrReYCV5/wqpJYyTvuDlccYzSxW7I3mRkq47rx+BrThQyxBmwrdx70c/JqtTRRt8WhvlSZmeNjwpxjqD3oMnmLknP94n1pZImSZlD7Np5J9D2qNR8zchV3HDryPxFewrNaEpWI5I85zwPTP86ntUWBWupDwi/uwe5pHaNP40lbrtTP9aZI0j8yYz2UHpRrsWlpe4qqcAYUvnPL4OT79DTQcDGMbR0AwaQOQvzDALZNNkXhQ/JPRR1X3zS5ewuZrVkoYu/lRkFiMu/X/wDXTpY5/lhtZAG6EsMjH86dDEsSFYSd5+YmQ8nPvVlQYx0+buaSXmUq9k9BhjjWPachu5znNUHnMMn3s8/erQdlZc5zz1xVWW3jlU43qPXGcn6VvF3Vm9DNTtqjPub15Zkj6g9T7VrWzFFXHX88VlCxeOfnBP8ACfWrsMjRZ3cMCQB9KtxsU6vPuaZA2Bm6ZAA7nBqm/wDrML2BZqVJJHGF4VVxk+pHNSKu1SqRs/HJNZTdzPqMSIiIKScH5pD/AE+lSiPdkLjnj6CmyG6kVgvlR54JJyfehZpURIV8tsDaMCsrRezH7xKvl2iHeCQfu8dDVC933S5RGUkflVuVNrYfluwz1ptuGEnUZPOD0q4RsrplJuT1KNvZmC2YyckmoTctExU8gcCt+YCa1cDhsHise3t1lkBYDHvRVndaDjFxb5jRsGLRiQjApylZJzKR93+dLjEexMZPSmZUII2GRnr71jbTUVR9kDbpJWJHU87e3vUspEUexDndzuHT8RSFvs7bW53dWHb2qLOJNp5Vv0+lVzPoY2sNA4+btxyM0nlsRhQSxIIXOef8KkKiP5gwG3ndnk+1QFmkH3vLQdSo5J68en4VSkkOKZIRG7yGNw3zYJ78dOKhkUrwCOvIxmmsNgxbxkNkBS7ZPJ9asyoCCFzjvxyapXZWl9yoiABVVdqDJKg5B54pyklMhdq8j5elGPmJPPf6AU7DBQAOAOQDRUgmjWlJxdyHDryAT2NRG7MX3wVPYNx+XarUEfmSSPIdsSDoP4jTo4vMQyMAAxO0HpiuCacdLnq0Z82rRkXN48/yxRu5/wB3gfjWJdQSnJcgH0HNdfIgxjjHpWFfbTMUHbk+wrBpR1O+LclbocyYAjh2Xc5OEB5x705kYMWLMD3YdT/jVtUM0zTYwv3U9hUdyRGFVfvH17U763ZhNJe7BFRiS5XJRyM7k7D0xTo5I41Jx82cAdyfWmysqgRqfnPUqOT9aYdkbbj+8cDqMnB6dDWiVznehcWQ+SS8SszAkk5yOeOarOYyzYjboP48igTbjjfwOPlOaVhnDDBB/iHf6j1q7DTJLUEscgbehGODWpCxyABuOeP8KpRIQQkeCB1Oa0Y5VtwrRMC38Rx+nNZNX0NWnFczNCFmtYyoI8xh83t7DFdBpSo1uNpCnoobjP8AwLpXLg/vQ6LwecCuq02RTCD2x0PrWFRfcEG27kqIzzCPYTzjkdB65pl/tjUqDlMnJz97FWcgoCWOTwq5qhqpxBGy8AqQMcVlH4rHW4uMLs58uA6nsM8H68/piplCp16Bs5HXGazWlAk5PBIz+XP64q3byFj5RwTzgN3FauLMEtS6imM79u5c4JX0NPDm3cBZAVb+HA4quJfIPlJIQTxubv8ASs57kxTk/MHz931NSqdypPl3NFwyz4UYzyPQ1aVpHi2tGGjHdz0+lLbSxTQASIoYdMjoaWacsuz7rLyD60muhaUmtSvHbNKGaIZReSG4xT0t4wN+RKh4ZSOQf8Kie6My5B2MvUD+KqwuvPZ1PDAcgUnexooK+pc8/B8sjKjovp9DSXURNsZUBJXrk9qpCRzOI3/1i85HWtRWE9ueuGGDgVShZ3Qp1G48r2M6zuGE2SR6YqO5u5Y7sOpKkHpUPlvFOV2jINWJLc3Gx87WHXPcUPe5hfQ6q3mElshIAJXnHNYT3jRam0chPXHTFW7YuIgueBVa/s/PljlU7WHDEnqKhXTJui7du4t/MjY7k54pb2dZbEbsHemCfwrPW5lKiLyySB94HGamELSrxtAUghMZ/nVppbi5G9jgbmH7KNkh3SAk/UVUF/tkkZPunHHoa6bXNOMG2fyWJxtAHXHriuY2w3ErAKI5kUnI6MPf3r0qUlJXOOrFwfKzQkuYw6EYG5RlR0JpDErjehyP1zWPI7NGVBxIhyPepLe8dXG3O1jkk9hWi1WplNJu6VizJCME9gOajuYGjtliAO5vmbH6CtW1e3vGDOCu35mPZgKpz3SvcOykMeTnHAFQ9/Qhr3THEEgfcBUrobdcqOO49K1orhJGUPHwvU9qtT2EN8YnVgrL1U8ZrVSWzBOy0Mmz1K4t0AUkA/mavnW7pRxgAdMUPpLKc7fYcVG1l8mMYPHNLlitRutN6X0Hw+JJo2Jcsc1bTxI8h5Ygf5/OshtOy2SMDPUUq6eEJ+bGPxA/rS5E9jaFdpNM0WvzNekvggDg5q/DfwQjIUZHrWPHalWRnYKjD755HWpoJbdizxrkZOGY9qpRtuL2ytsTX2qSXDH5WyeOnQVgzSmNt27BrckvhEuUCA+4FZ7yrneVTd1yVBA/woSgiPbyWwW2u39qEAy2eisea24PGJVQsyujejf55rn5cpuc8yHjce2fSq1m6218krKHXO0qwzweP61KUajdtCo1pR31O1HitHXG/A96li8QNKAtupOTyzf0rC+zQhiAARV21WOFgQetYtvY74yile9zpbf7ROAGlKqeflrM1qWeDbHFMxZjgVOuoLDFndgisu0uBqGqmaQ/uYTx7tUrfXYyqSm+o+20e4W3S4uJmEzHitSx1e5sWCsxGKne5W5kSIdF6U82CSKMrS54tXYvb+ydpF+LxZIoyzHj7ozUM/imaYNhjjue1UTpyJ0UH61G9rk5bpjgdqE1LqaU8ZFu4+LWLmSUSZIX1Nd34e1jISJjycE5rzvyWB3c8titHS7t7ebd/Fux7CsZRcJcyPZpTjVhZns1zZR6jYum0cjivMtQsHsb14nGADxmvQPC+qJPDh269Saz/H9nHGsV2mMNjdj8q0qxU4XR87jqbjOxwjj5j2CnIPrSs7Y3N1flDSSsNwJ5YH8hUMj7CSeVB+U1y01Y86Uhsh7k8MMHHrUYGwEjpkDI96GfLsB91vXsabjLBQw37eVYf1FdHNoZuV2JguwUEfNxx6Z61bjYRR4VeAM/dxUMXARQMKPkB/i/OpS4xKBI4AyBkZFZ6kydxzyZZcwr93n/AD9ajc4cERqoB46mguxx8459BTWKBgSWZvQf41nLUBjDkHcCSN2R2BqB4SQeiLnJYnjH0qyWaGP5I1DHq7Dcfw9Kpyh2AkkcscZC9P5VDixp21IrhowPky/OMgYAqiXl38YAHIwa01eGSKOKOIq6j5iT1NVLuPyj8rDdT0i+XqdFGi6iuUQLq4vFDMdnfmrotw9yu77q0wXaRx8rhvWo4tQQyBcjPeqjKTWoqkVF6Fzyd9yWwQg69s0y4ysx689Bjt9O9Sm42jIHBqrIwkLORlj69APb0qrfcP2nNHlfQsxSAr7AdB2+o60jOp6DsBwP89qrxORtGcY4APNSkhgVx0+Zf5VMtrGXMQzAMfVum4dR/j+NUplYZJG/3AwR+HSrp+bkdR29aqyqWTKDI9DUx5kO6e5ReReCq7gBwCOB9ajM4kOJQDxkbh+lS3Ebc7VOP73eouHAXy9uDnjntWyb6mbS6FiMCQ4XjHYitG1RWbbIuD29KzoExjkg9Rkda17WInaCMduelVJaBGTWqJxZ4DHB3dgOBUbRucEL2rRiGFQNwQQKkjiVl5Kgg4OayheJcpc75nuWpSZW3HgsvNV5d33scdFA9fWrHWzjlLKAoAck4pzKHcsDhVHXpXsJpaByytdrQqxokQLuC0jckjqPanlSBnOc+lIyCUkj7p6Dpmmhxan99wG+6B1JrRWas9xK99B6xlm4GfSomTEuOSRUF/d3TCL7Gmz5gCT3FaWxEiG87pCOgqZxlHY0tGS95iW7JgB+W5UDHP1qyCyoN+FXsT1NU4y8fzDrj075p8cjfMzLlsbQSankM3yliXykjeZ3GVGEXHOe1DKzfM3Ujgn3HaknhaZVXcVQEFmFWZmVo12KdqnaD6jFRyxsmDdloUXiCgHHzdQoP+e9QiHdJucuz8dDwPwqyC7H5FyOucdT/k0vkEEr124X5TkA9KptrQi9yFI2PQBz0AA5/KpUdXYxjh0yCvoR25pTGN3OOp56e1PDsIViPIDbskfMPXmoum9WU5O2hGxxxjHrTI1U3C+YAQvzH3qZghjJyGb070lugELStg5yAKq9tEFNqV2xgzJI0jnnHAPaopHLfKh46KOmfrRIRg5PBIB9Dz0qKZzt2/xsCMDoBmt4pWK5ne5PLcEpiPkDuPpSQBUCrnLEcgDNQSSpHAkYG49TgYAqe2OR5ny7nPAqGkroc6kpalgt+6lIOJT09qdAUhtQ1w25ux9agZmafDqNo+7jjmpbmHMYh3DZ1J9Ki3kZ77sNh8szHmMHr2FKsW9CVcFBzmoHDGJbYE+Svbuaa8zzf6PGeOnFJqS2Kio9SO3v47+Z7eFHXy32s7d/erJUM2duFHvxTLa2jtsxqMFjzUsmA5VAGA6mlJq5U5cz93REZVRICCHdenPQ+tO9Q5C8Ekvxz7UeaCQCg29N2OBS+VEhzggEcehpRnHa5Nmug0ICMtkL0APenNuZWRSSTyx67fbP50uzZ80bKvuBn9DT1B6FUYZz8gwT+B61Upq1jWmurRGyAKq/wDoppJfkQFgcHgfWpmwAMPhj3ddv5Z61UKAzo77sA85PX8K4aie56NF20IJ90cTEsS57AdKxLmDCFQcsx+Y5roZtp52jAzgY4zj1rFuA0khJJAI3E9ayOxNspeUI0AQVlXWBN6tjoOxrcuNsSOVGW+UAj3rNa32u5YbiOpPc00rheyMoowct0J70xjhsHk9SauSeXuIDGRs4O0cCq0yArwrDnucg/iK0UmtzmqJFaRwTwc8cHoc1YtnyxTJy2dhqkxIb5evpnFS2cmJY2IwEbc2R0x1/nWyszC/KzVR1iRFUDGdyj3p0LNKzknJ7n3zTXbbHwFOedpHAyamtTvGzCgHkelZT0Ole8XoOQMj8hiur0z93aqD94+nX8a5myhlecLs4B5J4A+tdJZ3Uf2sWy4JGPmByD9DXPKLsaRdmWroMpTJ255OOwqLVl83S1ZBhUTav4Gn6wjMQsfOKklXOmiAcnbzWV7NHZFOcdTgZVMkh2AkseAKuWxCRlGwXA+bPb2FQSRm2unKnJz0PYVIpW4CsnBH6n3rZ6rQxg/ZvUVpGlk+b7qd24P0qtPNk5wM543j+VWJXHliQ4BwQR71jS3jJNtLHBONp5Bqo72JqVFrI6DSbsTEwP06Y9PpV9hjerc7RkZ+tc1pk23U1CngkfhziuleRTE7HOQOD+OKzqRsyqVXmVisIzIsijgg7gagjt2Xe2MMOhq+LqNHGB7Hj1pn2iJWlBDOVPRf8alq+hfM4q5SdW+1LJjnHPFaFlHI6EKuAT3HWqEl+cfu0VSV9M/Sren3Ty3irK+Iyp6dqUnyq6J53JlyW1QMGmMYYcbT1pAQrBIljD9gFyT+dLEsLzSzR7mBOCxp22R1IVNjngEdcUlNWCNPmdiO5S6jBYNtI44PXPpVFQ+4mUux75PSr0EMnkKpflTtHPv8A/XpWsmI9Qe3rzn+lW9tGLkSeo+2eKRQsJBbqykYxSzAtFuiIZjkIFOfm+vtVf7M8bZ5BI6jrz/OrVvk5VwMhQRx09cVFOnHm1KnNqOhUIaZXjuHWRtnEnYn6Vyup6YljqfmKD5fllwD3OP5V10qmORWAPy89ecVR1C1M7LEyhgx+Ru3P8q6o1be6zmlR53eO557JE7yl5CQ3XApkgeXCDhPQDrXZzeG8j5JMH3HSsufQrmD+EY+7uHYZrqhVj0OKdKSfvFC3X7PprsPvSnaWHp6CoQrMD8j84FX7+M7Y40DBEGBjvzVNYQq4w3Uf7Pb3pxfUzkiSGN3k5Vxknkj8veori4f7QVjYgDjI6HmrVsgRgxVhgE/e/rVDaSWbB68561UWr3M7F2HVbiAgFtwzg55q9JfQFQgIBYYyeh9qwmXaPWpns2eFJJFORgr6j8Kptbtmq97SKNBpAFJAwQOmKrzXQjXI529/89KZLcK4Zy2AWOKZHE3+tYHI+4vv6mk29jP0GRiWFhLIz+bLklc8Kp9e1T2rKLZUCqoXqq8En6U/7M7sWYgk8mojbyQz7wAQAQe9Ulde8N2ew6XLKRz6sfT0qAD51dgTkdM1Z3o4CAdDlh61ZTT2ZTIM4PQ1mrLQjYzXBCbTkqCThhwT0/CmCDeTtGQODg8j/Gr0loQSWwFGckjpmmmNnTkZAbJz1596Ippg3qOy5t0nTnA2uB7cZpq35BqSycNMY+kTDILHuPeopoktpdsg3Ow3hhxgHt71pUp6XNYzcJ2YSXkso2bsKerUq332RFWLgD9frVSQb5Aqk7R0pssZ2+9ZcsbWZUq7cubsdRoOpRTXI3thvSu4UKYtykGvGbIyRXaspIIPavTdNvpJIVUg8AZrOvDlV0Y1JRldyL8pHPFVS4YlSRx+dSSNiIlsA1noJXk34O0Hj3rm80c8W+nQufuyMZAPvSiAE5VgTkcVCsDs/HJPr2qwsODtXqTxgYzTc+510sZUpvRm3o+oPbOoBwoPQVreJ9aS5sIbdmyduSK5Ayzx3HlKQwUZLYx+HFPUMztNM3mSN2PQCpb5V6mlfHe2jZrUY8jFQpyAeSaa0hkTAGHXoKdLJvUEkEZwB2zUDI7XGz7pfOT/AHRWUbtnnSlcWM7iZBgJ2z3bvig4Y5P8PzH1p7HaAqjCDgKaQRh5UQZweWHrWyM3uPiOEWRgTknav1px2gMDtBPqc0iqZpcIdsSdwelKZ4oTst0Bbu7HnNTKy3BXew9RbghnmOMYCL3NMa6CjKIqFu+OQKiF0/cIQRzkU9YY5uI22Nj7r8j8xUe69GjRKzuP/wBZF5hOV6HjkVC6ZwTnA44pIfOS8lt8BYEjUht2dzE+3sKtSAAjHfgep96iULPQ2q8qstzNkTYrbQST0qtEjLGzT4xnA9a1ZYjtJA+TOMk9azp1ZznB46DFXTVw5uXVGZeoDuIFYEiyJcDBPXiukMPmEgE5HqMVXNgN25gPWuqEV02MXNt3kS2szG3CvyemakU8Nzkjkc02KErkDOQM/rU8cZzjnGT7VkrXaHJPRjSnznGMcNnNPHzoMDJ3cFTnj3qRYgGTKghRjnnHvTxAyjOMnv70pQuJohMZdsgZ9RjNRy221d0itj0FXpPPijbyCgmA+QsufzFTRW73EILspZeHZemcVPI0ty7W3RiSoXUZIx2UDGKgWA+nUcCtuS1GS2ML91RTPsmGOBjjGaIt9SaiX2TNjhPTkY7Gtixjz8rDHHPemRQCNxkZU9quwxlSOhKHhh1xWj2MloyRYjtCjrnHXjGay7uO6a4ZopcIeyrgVu7AI/N/hI5x3Jqu1uc8His4yakzSMe4CITRtE2cMQRVvy1ZBEp+VR8/uarq20K2SCrA8+n4cVYikKOQER8/3uDmvVckmHvWshpjCZLHB/hWq0kIacuxDN/IUhu2e7CzgAnoB0B9BVwphdqj5m6k/wAqpyaDYoCFnfdztHGRVk5L4RRgd+tWPJYnaoJA4HamSIVOzAznnPJNPnFcjuXzsiUnngADFOVQrhRxg/w8GkClboE5LAdCOn40RZabBz17jpUuV9ATtqTXUgURouMkZZsf0p0Ugcj5SWH5CodQZVnAU4GPTmo4mJ5XAX+IZ/UmpnrGyNIabksi7XKMWAHAG3AA/wD1U9Cm4As5+boMin3KIUjlKM/8Jw3HHSokfAbEOOCflqHK6uRKNmWl2kIArAEFjuOM/nwelNfC8BcexGP/ANVKssYBzGw+XGSc9+4p8s2TtVc/4e1S5JqzM1oygwEspZgQThQwGMDv9asylRCoUjavHFKyK3/LMqB6HFV5Yfmzu5Hb0pxnY0co9CBz+9Ufxfw5FQyFRIiA8k5du59qk2PFMXB3ZGFz2/GosOkqFkIwOTnvW8ZpiuxbglpcBHICgegqxbMVffswVBOe57VVkbM7kq3A/vGrCyfLtBOOe/HAp3TAlhJMhkfkjOPrTPmDNI+SDnA9aA7jOI1OehLc/n/jTYb+C6uzaIr+agBYsOOfelvsVytK72ATtFbs0nLt0PoKWzQwRtK3LEcUksYd9oIx605zkAKaTFpawrs3lkj7xPJNSRNui8te33mNJNiGAKApZuc56VHAXO2JD19aiUtGLoWoV+0QvGoBjj5JA60uQ8RWM/KvJz/SnF1hQRQnvls9Sag/1jlhlNnO31PpXNz/AHBFEm5TgqcK35f/AFqspGFX5xg9iP61DCAx83bgN1T1qWVvkwvKdvajnWyNFNtlSGSae7mVypt15yB1psmBIQBxjAHqavRqI7Z2wSzHArMkZ03D86wk1zPl0PTpOUoKTK9xOy8R4HU8etUZWEaY3ZPep5gcZXAPbviqRADs24kswOCeBRY2U9SvdOyorSMiktuCY/KqMgaVTubezHJUZFaDRb2Msg3OTwD2FVpx2AHvt4wKNty+a+xnzny/kSEYHHvVN923zIm56MjVekQAZYkx4+U+9UnDMxYjDgZ6dvcd6q3UykypNF5zySRAqDgOhHAOOaIUAdYs5JOZH9Pap5PLRSpL5fDGRDx0/u+lRRIBgsWKHoQOK2jorGDXNK6NUKJHeQYK9Bg9qs28aqME9DgVWtzD5ZOxiccEHH8q0LZ4wQIoFDZ+83zGpaVzojoi0sjYCqp68AdzWro0KpcBmdVdiMt16VmgMWXexORnHarOnsfOQDjJxWEmlpE2bc7cz0R0tzJGkm1Rux3NLAyw7jJyzjC+1VLbFxO5YjjkVYgjaecqfvA9D2rHqUpHG65Eba/OeQxzmqEEuydtvQkdK2vHCC1CuPQ1y9m7pbedLwW5A7mtoaxujKUrTsW9UnxG6xnr8wPv3rF3faQhHcBh9RVslpYXLcZbjJ55qvDC6ONi4QE4Y8DNawjbUzqe+7IvaYCL4SMCFQlsn25rUa9GzaGY8AZA96zC8VuGZpNznOAFwB/jTIpXuJ0QFjkDApSjfVlRfJoayyyuY2EbYJyNx649qsu8u2bIA+XIB47U1olQonmbSAASKbLCj+ZsYkEn5mPX/PFY2Vzp9q3FIgfzcnATg44we1WbMyrPG5kCBW64/CqptjuJDLwSen+ferttblPmkmOFbGAfXmobJv2OitWaQy7QjYb5T0GMU4wz5zu68EgdqhsJYfOkUDkjbuBz0/8ArZqxsR1DESN35OBWMFaRfN1MeaOWDyfnzxnrUkN9IAOR0JGfrn+pqze2ykx+Wx2hDn0HestpNpPlqSOxNdDm9i3yy942FlBHYYG0HHQ544/A/nUqIgmRjwN20554+tYS3b4O7gdcVe/tAxJu8tS8nzc+/tWKUm9SajjbQdPfW0DmKUNLPuPCdAB60QpHcBvJVjtAJXJ+UfQ9qoljLqH2qNBkjD8d6uAxW7mbdtd+qDnj6V0Wi1yvdmcak4S54u1iVIR5uSp3AYGBkGpWiAGM4wew4qrve6XCFljJxuHGPwqyjW0cRB3yypxjON1P2TiiKk3Wk5SZUm02CZCSijj7yDH6dKrPosIj+Yxk/wB3ow/CtF5iNhtiN/eN1yB+NZ1zpV/darBOZcxMpLn+4R6Edq1Tl0ZlOko6tFL+zLJgYwfLcjb83TH8qovoRjdkKklSRmuobTllBJGI+me5qRkUupKkZO36+9JVWTUowXws5KPR44HE8w+UDhSO/amtYtdSs20iMc9OtdRNAt1ubGYYzhff3qAxZGzG1ep5696fM29QpPkvyrcxLfw0rZndASv3Rnhap3NhPDl1AIPqRmulkgJixGzgY65OBmqFxZSltxbCDBG4enHH4100n1bMZx5nojnBqBhkCOu1vdaJrxpk2hQB396vX+js6sGTkLuyP8+9VLSzZ4sN1Q4JrSXdE2a0KseAGO3BH60tjq0sdz5LDMR/Q1fezIG0LyRjpTBpXkRmYjBAz0qFUve5m4dgvb1drxKAc5yfao9pMKFPu9SaItPaVwig5bk+9XTCYlW3I+U8M3pTUm1qxOKT0KPklrVpI8Iqnnnk/So3gW6tDKeHThFq1NCUkAiJManH1pvksczjKheCoqrtagrbGZD95tw+cdvSp/K34xzn1qSW1MrLJCMnPzCuk8P6BJqc4Yr8gODxUyaTuTJWdnsZukaBLdOGWNvriu1g0/7HEEYcgV1VnbWelWwjSNC+OtY2q7mnWRB8pPNcdabkmjOTV79DMlsy2GY8GpDbKqbQOlWBmXAPCjirEaEDcRgr933rCmrO7JlJyKQi2DB+91xU8URiQSADzH+QA/wj1qzFbGaQZXDE5J7Zq00PmTEDhR8owMj35raUU9w5TJS2CDkY759frSPbkpnaQf4WP1rcW3woONgPQnmopIFByCSx9OT+NRypu4+XQx3gQyLjDIuTgdzUSQsJHfuVyx71rGIHBZc/p/Ko3i2KeMn0JzmrjDsZyhJGS9uc7Qo45JqeK2McHmSFULAquTzjNXFhlkOSqqD75JpZLdd5z8zdMt2/wqmlewo05NXaM5yqQ+TE2FxgsV5Iqm8eBgHLYPGOvHetWSFBnOfqOlV2iOCAflx0PT8aXKoofI2yisTE46fhjtVlI2xjgHHPaphHhTkZBAwO34GpVX535zk7QD1IHHWueSNYRsRpEoYBTjooJ/KkP+rDKMMR/n+lWVX5lVRk56Y5qEZIMStjdIRu6FQOvWq5eZ6hZLXoVpHeZgjHEKHsPvfWoJovMG1fm9T2rTKIEwnQcbjSJb9gOc0Sj0RVNa3t6GWbEQneeo6/lVXyi7Zcd/m4/HFb8sQZTuxjOT71WS1O8kjBye/NaQXKiJpylczktsAAjkjP6dqWK2IkC47/AM6247XIyFzj/wDVSSxpCxkkwqKACx7VMXaV2dMqV4KxmpAsfLkALwc85p8Skp+7UqMnBYc1btYUuIFmHMbfdarKwAEYU4HPT9auU7GcaHVmctptUnoQMsakt7Xy4pDnaJH598DqR+Iq9NHhQg5Zj0FJ5KmULtMjgdOwzSa0InJyepTKRE8M7H2XigQIeeWPcY2n9avGIqdoOD7dagflV6g9QD1rJp9gUYkD2gaLzE5wRkYwRRbQvJOAnJ7/AEq4N0bKV68g8dQKkWQbCioEB67eM/WrjJNWIdBzd47EFyQhSOLBVOCCO/rUQd1GAP0p8q/NkU0TKuVLqME8E+9EY2WpXLfQzd7CRh93JxgHFWIZPliDDJHy9efamMD5xwRjd0PNTIWCKd8Yw2QNtej0M07O4SKouPOAAyNuWXPPtVlJWC/MDuPUjp+NOcrNEFz2yOOBUMZB6nA+vQ1lKdlYJvmd0WlZIY/mVlDD+E5Bpgj3gOjpL79MUsYaV/LJ2n+E9jUdw7wMRGqk91IqPaNuxHL1FUMHLPGS2Mc8/rTUQxSltpXPIz/Q1eitvOtlnQ8EZx6VAJjIrRnhP4WFP2oONireq0oBJB25xzioQGwFySKuCFnbbGMZ70khRW8vajY58xQePwpusrajV+g+HdLaPHggk7lPoQOn5VCskgVW37QRSwkxtlpSxJ/iPH1pWgWNVWN2wD1b3Has/aK/qa8vNG/Yes0qr/rQwwB+FSNMsYVmTnpkUxY8qwcZ4xkenaneYQquoDqPlINQ53MuUQs0ciiSTKNyBmogrs+1/wB0CcAtSSqjRlznIOQPSoZHeaJWmO6IdD6GpVRoTRJKhgk2MwHZSejUxyYjsljDEjO1Tn86a0e0At86txn0pDDtwuOF7imqzT0JYEW0kjttePLH7rbh0zT/ALKgAZX3A+1N8okjnPv6UoufJgaC13C6LA+Zj5Wz2raFeTGo30RHKGIKLgZGPdue1TW9olvGyrjc/Lt6U1m2yBnCgpk/Ke9T7jsQKMMyhip7fWtYV7xuaVKM6dr7EbBVUM2duMKvdqbD+8uNpbgfw/4UjFyWJYbuecdBTotyq+PmZunoBjk0/aJ7GYly++YlSQBwMjkfjU0REdorYG6Tk45GO1V1ILkk5Vep/pUk0m5s5wc4GPb2rnnOwhjSbsYI68ZORn1zUuFkaN35DfhzVZMMy5OA3yAjnPrxU8DkwY+WNd5IA5OPWuaU7j6FyN+o5IIzwKemwqWVWB+nWoYy25cTc4OamBbC7vXPIweOn604vlKilL3SfYFhAHQDisy625P9Kv3E4EVYV3MQTjNRdy1R7kIWiolO7mVCemKyJtThifG/J/ujk1bmgkum+bKp+pqs+nxRocKBWkU95FeyhfQZHq8TnBjb8xn8qncrJGHiYMrcfT61j3ESBsDr2zTrK4MMjKW4PGK29nGUbxJ5eV8uxZWHeucZReme5qpKCWIXgnvVu8ufKtjLEqlVIG0+ntUOPMVifw/Ks9d2FSDhozOm2qBtGAMqR/n3psQBfKsyE/3T3I4yO9STKdx96II1GDwMEH24/lWl7mME1qX4dxSQ70cZ4JXaT/Sr0GVIOwf99VUij/dONjHocrzgVft0Hy8Y56/hTeh0RTkWnlXzlGxQOFHzZ7f/AFqW2uFMkbBQMknj8MVCyFpVABLDB9+lLFGqMiyDLZ4Qf1rKTig9m7m1ptwDcu0YLRYOWA+UEds1ppeqzGSIZYcs2OprOgnEFosKYVdoJVeB1pyq0kDKh6EisZcrexvSSW7KOuqt8hnl+ZFPT1rj5S0k+0cDoPauq1yXyo/IXACjHFYlvb+Yd3U4+nNWnZGLi3LQoBMkKBz/AE9ae8eQXA4H3Bnge9W57coCBwXP5Ci6XbabE455OK0voKPumawaeTIkVG6YYdR6ir1nCsJLIC8p5LntVKCNt/zA7e+elW2kYAxp8ozjapqW7Kw5NSlzWJhKWbAO5ycAVJNKVDoDztCVXhk2sDjPqf4hTxbs5+UFu5JFYN3ZrCOndjRMxcgdMgfgDn+pq7bHdjcCxZg35U23sSzAEdTitKOP7OivgZ6D2pc6Tsbxw8mr2NC2ufIR3W3JJOQW47frVqNpngVrhlUkcKDnFZS+c7ht5I6jnrV6CIzgs74wOR3pq0dSeRPRFkz20gMSqGC8OW70x4oZVyoAUcdMce1RNau33Rx1pWhwoOC2OAKpuPQzaZTuIo0YKE3OecDkCq9wd91ISuMEIOewrYt7aOSVHdAfmx1AwPxpJ/IgLHyl3bd3ztnms3N3tFXFy9WZi3DJaGNIyqH52fOSaZCjTnESgLnBY8jOPT8Kkm1DLEKFO1gAAmR2NAvQxCtgct07c56VvCUoq7RnyqWxZESKq7WJG3JIGR659RTTj5ZJeh4Qg81V+0qylnI2quWJJ6Dn6irAcq3nsG3lcqjc9quVVPYfLybllIokIiuBiSXpIO34VpJ5VpF9mOXOc5Y8fgK5/T3kv0Fy+4KrnCuMHINXppWlbgkMvNEWk2nq0Q7uz6FpnfnzcBgef/rfpVSdi25UxuPy9Oh9fwpqtNdXSHOxEPz4H3h6VIqj5UyB3PPUk9zSla90ZzfL7rKjQHzoAsrrHEuCvY1YMZYM4A4HQdhSPsziP52B69vfJqVHjRSrNuPTAGalc3RFc8ErtkKjHJ9c88e/Wkc84VTuPXAx78jp1IqwsUspAjCAE4zIwXrSm0LHEkhIIz8hzn6YrdNx3M1UhczJFXPyYO0nft5XFVVsY45JYoXSVlwSAemelbQtx5W5UIUfcB6nnvUdhpqWzudo8+Zvmf69qqE7xZpilCDSWpnwaeA+WHbkn1pl7bgoIkXALemK6VLQKgcg4/hXuaqzWbF1AAyB0HY9zU3vI409DEFiLZGkAy2Aq/41WSDzHIcfKePoa6RrXeGkbOwdKihtN6OduM9gK1jJmkoJ2OfWwFtcKu3eDw3sanj0eSaUuiHyzwR7109ppkVrCZLgg55wep9Kke5SMFIlVF70TqJbsw50jK0nwokBkkuHwp55FdBZz2lgGgjwjNyMjGaynvJZpFRTyTjHpUU+6d1SN9oUYZvX1rnnXbujJzsvU0ppyxJzk9jUbkTWhB6r6VVMmTgA7c4A9hViGTayhsBMY2jkkVyzk73MFJpsSBDJiPcAvUsalVvOfyMcLwDUEUe2aSFlxg8Ddzj3q2riIKqff7Z5xWkHc0g42uaEIAHy9FHJ681NDAEVCBgE8evuarWqYVRyB1LZyKvq+9t3GAMZyATWt7ISd3ZAECocDue2ahdM4OR+PBqXMruDgxRg8s33j9BTJHEP8IKdBRtudKSl6kDIoXnGP89qhSFp5jwRGvGfWpAwleQAny1IAb1Oeal88RJnI207psfI/hQjQAHngDiq8sSnk5x7CnpdLK2SeQelNnlVPmblc80JRvdjlSmijMNjcY2kcEdvwNVzH8vAycjgelWmbl8DO1gRn8arsVLptxtLY57GqlqjGSsMCDJHTJ5446Z6fWpVh+UZHbIPvTFYYdmICY5JqRFW4Rd24R53AZwT+VYcr6lQs9wKlweoQZ5/vU1CJnjt5G+TlVz/AAkjirTMryBUOcHnjiq7RgSKQMDOapJtNWNJQSSaIYVKEI5yQcD0q75ccZBZ1J9+9QM25sjOB0HpVVb/AH3xsxbucqS8mMgD/OKpXewqPLze9pcs3AUcjhSO1MICAnO5erE81I0BjAVhzj7vfFLHEACxUZJ5P0wcVXLfXYc1G+45HKxkgAKTgE9KY9qb7CuSYwc7T3qVozNJvckhX4PqDUwIRSAfmHanbS6FB2sm9SJ7UJGsMAwBxgVYP7pVVgNw4FU4rtllJbpTbu8A/eOePU1VuZ2ZtVhyxsidsM+UwB/Ee5/A9aeAEUhTknqBUHLS4BXJAOc5AGOKcX7KTt7YPX3qb9Dm9nuwkJIx0B7HvVV8iXgckFcEVMzkD296quwOTk9M5zkcVm00TGN3YdHID5ZGQ23nJ709H4PqBg4qrGSvXrmpX+RxJ2bg/hQqaasXCTjK6FmcY56djUe5scZpZRlDjkH0pkMEnlLhsexqoxuhzcb3Im/1gJK9d2CPwqYJshHCABsDA3D9ajjxK4YcqX2g+1TEks2R1OeOD/8AXrolKxzSRIv3VY4wBjC96QhjKPLAbdxiiPI+VuQQSPU1JlraNgR+9f8AhP8ACP8AGsHJtXYlG4SlY18mJtyg8N3BqzALcW5e6YCUDjPeqcX7sbmwV7euaWVHdw+7OeOahvoiuXW7B7l2kxECkX931p8cYYgtwnQHsaekAckngqOR6inKpyYsfKRx/sip5uiCUW9xkjNJlXGCOAF4+lRLEWfB9eG/z1q2YsERt25VvWpDGFwOoBzyOvtihXsKMEiqkXBbBzjPH1xyDT1iKqwI+QHqvb6iphGWAPU8e/T/AOvRLIIFOAWYcADvn1qrNorlI9oCI6jqv51CcKCAhAJ7Co4I5VvftU7kjBAhXhefap5vMlYA/KznAC9AKTUl1Q1y3sytHllLyJ0JH1FPSEMwA5hccCpSuWdY/uDjParCptt4sdQQMUmiGtbIpiIrCwHJQ9PalZNpWQDKHh6syYjmA/ikH3f61VeMs2wFhEPmPuaai0T7O+xXY7spDzEepPGaS3gzJuI4X889qvRW4wFAGRx9akSHBLLwFIG7PX2FVdp+RtGCitCk9upkII34OQfTNO8tt5PU4wTmrscLMQSDn6YP5d6mNqGDcjGCc+lNya0Qrcz94zTECfuqW/3un0qP7OwyVdgSe44JrQKbH24xkAAY/X/9VRyw5GVIApOT3KVGN7WMuRJUH3BjOSVIqDL5J2sODgkHrWqtoyjeQPXp0qtcxswKlm57Emk5J7j+rX2ZVLBZMddoILY5JPWpUcsAFRQvQFqiW1x/e49ScVKisGGOGFZygujM/Yza2La7+OMnkZA9aerEOFU88D6fnShQkbsfu43CnRqQpLdSTgE1NOD+0KnTkpKxFcECJv7wPU8cf/rrP8jzG3uBjPA9q0Jh8g3kZHt+lUpmcN5ew7yM49q3gj14LzKz4GcKPYAdKzbktggdfetCaWWIDdEVUDkryB9ao3MgZcjH4VTimdMEo9DBuoWJLE1lz74Tux8vqK3pgWLNkcetZ7RCVXQgMOMtipjeMtArO8bi6dKZBuYFkzn2PpmrUjbGPA5547/hWdzBNu68547irrkSQj09vSqerOOUnLdkMoBII6GmL1Bxx/n8qcDlSrdSODjuD/hSJljtUE9TkDOKcEF+5et14I6k9BWxaMsZdgA5iXJJGcGsSKTY2CyhmOFQH5mretbdoLYeYGVmGCvcg+tE0uppCfREN3JNLCiJKUkkc7iBUcEWy5cnOeRn1qe5IRh8qjB4C9qpwz75iGJKhSAB3zWS8zarV5rJF7zy0zjOSABj05//AFVf0+4Y3Mqknhs9ayA3+mk+YVB6HqD+P+NaNttFwzbhk9wOv1FZyV9EKkrvUr65ie6BXgdS2OKr2KqvAIIPUjpTtUjLTht+TjCkGp7IIxwDkDk7R1P1qraWNYSim3Yq3KEtkowx/hUHlA2vI5B54q3cIRK4KAfMMlnz7U1YyImGFHI+6SfXNNysHs+bUy2TYxHTDAfpUYj3AcdSQ2ex7GtVrUNIeeHwc/UVC8KwnDkg+gqFrsJ07asrxR7QH3ct225/HNX7dlyuVJX+IscYqpFdRq5QxkI3Bw3+RV+OER7gAHUjIx3FKUbDjJ9C3HOkLiMKDg5DgUySV4nIZdwzkZ6fSnqsaKNwO3qtCy/vDG6Bl/zzUNqJrzSloCXHkTAtGCp5ANTlJLmZZICRg5YelRmxa7kEQbCnlG9K0o4RCiofldeMjvWbvdNbluaS5ehJJK0aKQMr3AqbJKrIqhVPXA6VQubxEHlkYl7N61Viu5PN3FyUPYnkfhWns9DC+poRyqJAPNhJyeq5PSqeou0RiO1SHTk8KBinTIwdZYo/lY85wMGp3jW6txE4UEH5e+KiMrPm6Gk4JxRhiGOeMt5hyWyAOlRLEuSrSMPoaimdrd33E784PsKq3E4uISykebtwAe+DW1p31ehnP2dk4rUvR3FtbuxuG81Ow7iqv9tYnaVgcMc78cfj6Vzct47uQchgcH2yfeljuGwSOCABuOc9f07+orqhSjHc4KtaU3qd5aX4uz8hB4z8o6VaK7UyXJb8K43RtRe11SBlfaWYqQOMg89OhruhH5vzRgFjyUxg/hWUqSg7ozqVpqOmwxHO0xAfMxycd/xqNwAdoGcdcdKnQ+XuHIfGMY5H4URhWGwMC/XaO31rHWTON1JS1KhLY29AB90VKE2J90HB5CjH4YqXydpIJGD1oYbBlupOfm6cVtH3nYaYhYY9VUfNnrmqoMsUitFIRzzk9qkG5WGXI9akijEm4fdKHJYelaRjyt32NrXSaJZppB8mAuADt/DrmmpcOcEAbhkAn17Ul07pchBlRtGB6jFOjDEfKdwJwU/wok2loZtyT1Jftl0pG7avYHGRj+lKl/JIoVUCrzzjOefWmysJXijTAwSXc8fQClliCIQmSuMc96UW9iHJ9BZbsMm1kYjPUHP6Go7fVVj3QNEvlDDblPOfeoXBBzgbQPTgYqJ2YAZI2/QY/Gm5S2uRzSZcmuWnkDMxx0UdqieTzIlOcA8AetUSoXOMKepMXH8/wp8VxIJQJAJV2nbgbWB9x0NZzpz3Wo4pPRsnUtFHvIIllHAP8K0LIFUjIHckmmvKGb5o5AMgHkN+lIjo4+WRTxk/KPXNYvzM5K7LAZPkIkLMTgqo4FTKxI4V8exxUWWG0Fie/wAtBZf7sp+Zv4/SpumRYsuCJUuBGFUjYzZ6n3q0owQ2RkHvWXNDDdWzo6S9CVKvghu1XIebaJt5K4x15GKatErluty9Hcqh3KRxjkdSCO/rViKZWZUIUqrfOR6fSswA5A+8M4xjmpo+QoZQCOTtOefrWymTE1llTA2gD/dNV5pixKHIbB56H86pNI8fXJ46jrTWulePP3T703I7KclsW4pkNunODjH+fxrPurlgGUEfWoXuRyinJfkKOuarujZ3yjcSeEz0+tOKk9zdzhHqSW0xRy7flmn3t3+5Pvxx3rMa7eORt0QEY6shJx+Bq0iCYpJnKDkelXKnKKu9gjXjJ3NAOFiCt1wM/XFUmkP2hj0QYYk+v+cU9gXfvtB4AqMoCQTkH0xgYoS7mFSSexImHALjK5yMirUbF2IzVdEAX5s89M+lWoYwh3MCcj8aOVvYULR3RYVNhycgnk/SmMpbOOCDkZqQEI2SflI6+lMaVYQXfoo7D7wrTlsU3pcrPLtjwMkkgAeuaitENo0sx5lfCgAYwO/9KseVKUMjI6KTlMnFRtCcFyV29qFKKd0VCmpXZY5VN7nlh17k96gebPyrjBJAA+lVxcYmKHnIOPXNMjDPgKu4jrxkVtutTJqz0Lvn4TPbGD+VNeRt/wDtA4Pv2qFMNhRzjgsTgfn/AI1INqDglpBxkjGDUpa2Q3pqyKQgMSOFBxk8DNOhgWb55mAiA6ZwTVgs8u1XctEFJ2OMjJ4qRZNybFRVXpjHAodo7ApybuyKS8SUiOOALFGoQODtZgPX1qSNopgRExDej4z+Y61QuFMLNyCrHIquS+1JVyHVwygdSQehquXnVglLmfuqxemzj3FQsCVc4zgfnxV6dPmJ6eg/WqhDA8At2OB2rBLoy1DsQoMu6nnkEflVkL5kJTjPBFRtGscpyRlDgY5yBU8KseMJ6fe5/KtZQ93QmKs9SpA3nPJCfvqcEenvU8uA+M7cDpV2DT1W6eXbhpFw386010KG4HmSTBWPbFKyS0Jmkpb6HNCJk2KsfCjtTlikBJeNgD0JHBx71F5/mYYoUyPudeaasshcHcQB90Z6VDvszd4eDXMnr2LbeVCnllgZX+9tGcD0px/fAnDnnPIz9P61mXTGG6VWXlx2qVLhk/iOPrU+yT1uYtOL2LjxHIxkD3qYSJCgMp+Uc1ShvGluvLZdy9ST+VR6vJ5kRjT86UaWtkWmpK8tzXkkjlVZbVsx+tCLujLbcsOQR1NZGjs1lpzRvyWYkD0rcgnWG3wOWP8AKlKkrsiz0sLCMRMJuCv3TjrSRyFl2uuE7FuDWfc3ixSAE8n7oqeBi/UZOOR6in7JLVu5XIktUR3WqJZymOCKR8p8zMeFNWREkm0hgVI3ZH8Rqte24uFMa5DNgEj0qFnmtprSyAKlm5b2HrRJrRRNYxpyg3LR9OzNHyzI3HXP5CmLEN5OcADlgPerSYQ5YDODx61HINqhFBZnwAD2FYtWZyy00IFT90CeAx49vqKmYmMRIuA+c885HtSZCljvzgbQ/pSWyh7g3LdVXaMng47+1WrMUWuov2Zd7y/dkAGAT2pVj4yo4PH0p4fKtJ3JIGe9SDaNwPyg8kn6dKq1zVFcoUQso4xkDtntUgw+No+Reig5FEsmUKBlCDqTVaKXKSqIhGEGVZeDn39aaS+Et0pNcxfijT5dzDqTjtUpIAHGQMEj+dZ/2mVOuOnSj7V3GSc42jvT5GTBK+pJPtWI4GXYqqqB1JPpUiwfMdzBm6hR/D+FMgARvMkbMhOeMYWrpmRlwQCKIpX1NnDm+EqlRjAGeccc81SliRuT25575qeWbY7ADJHQnvzVd5sMwUjK/dU+naiUOpNnEi8vLKnGW5DVNDArfOV5HBPpTFRduwk4Y7mI6qato3zLgcng47iudrUV+iGvACVi/wBoFvcdahmYIOTyB2Gf0qw8u0uRyD/nFZ07l26k8gjtj8a0UbIdGOrkypcSKGJdgO2P5Yqs3Aw7FMHkHqakkKYKt067VGc81WY5JwnDE5XPFNy6I7YruQTRxyMWJkYDODuxWeUMa7TJuznGfpVyYLt+YHj+43AqhMs45gZHyfuyen1p3Nb9CGVCecjIPeqb/N8mN23+HoR71caQPhdpVwOUPaoJF6MSfl4yDjg0/UzlqU3UMCOWTGfn4I+hpUkEaBZN6kjCjby3P5VOQGRy3BiODUaLiQTE8/wqehPvU2adkY6bsQxsSDI3legQgtTmiXYNoKx4HzdWP1IpQUljaU4Vs4KmpbYrL8nBx6VevTYWj3LWmW48zKjIHUnmti4/d4Ud+hqlYItvMX5IfhlHarqZMJDA8NkBuwrN6am6gnoipdBZYN5+8PlNZtscT4PdsVqSkFJB0B5qktuTuYdc5/GoG4W0Y+Vyk6nnOe/Wr7SmJlcHgjoao3cbSlSvytnOKszuq2wEmQcc07BdIqXEvmTsrZ2A9B3q5asyv0KgfdRfXGeaxZJWD71II657Vr6e32myZhw44P8ASk00rhGd3YrzHdKTkncQ2fr1qzBuVgrcZJB/PINQXETBshcYOfw9KvQRiSPDgnuppSVzop1OUGYJFwM8cFWFUJD564OSwHGRg1oSxKiMMDHUHpVIQ+W4OMeoIx/9b8qlWjqiZzc9GZksRB4610FgplsY2Ocrlc/pVGWEFmbHJB/LP/6q2LRBb6YQxALc9cU5TUkEabi79BPJOxVboCRSuI1UD+MfLSSy/eK84w351RaQtKFY89P0rCze5u+XobWnoyxOr5yDwasHJY9CM85OMUlvh7RHI+8uSP50btpCkHI4GKWzMnqYd3hr+QKSUJ5DdjSvyMLn88H/AANWruFXuvNEe0v12+vvTEt942spC8cZyMVpKWqQ4pWbZo2iZsIvMGTjPI/LipDg8R7fr6fhTZJFRQgyQOACen0IqKBmeVRgMevTkcf/AK6iSutAUr7mFr1vsmZ1fduG4+x6VyzzGOXjoRiu/wBWWJrc7s4CkAjoK8/dCbgbe5447V101aGpzTleWhTuFcjzACR3FQRuQeBxjgjtzW6LHy2LqfwNUJId8z4TYAMketXCpzaMynTV7ouaVbCRySRtByvGRn6dq7XTro3aSQyAiRMMNvUiuMt1mDQeT93dtcbugrpNJl8m7jnJwfuN7g0lLVylsbNx9mqUV73c3Tb3ZAEpVkxkLIMsB7Gm28K2l19qildn2ldkmCvNa0YF5EynIdcEMOoqncW0kb5A6n86U4c2zPNq0eSXMxgy8mWIJPU+9RzR4HoenFPijDH5QD6A9RUkoPDFvm69K0jAzS6lEIMcYHrj/Cn48tEROnVz/IVZEJ3qG5/ibPp2FRSR7mz05Ax0q92ap2i13HTIksMTsfmT5MjvjpUcakpuxy56egqRIi9sVVhuByMHoaemzeA5GTg49aicexhO4IuzIGQ3THtQB8pZRgYydv8AhVjYZAcgDavGTjP4+tNKA8kseMDAww/xqYqxmkyltAjLBdzAg4jPJz6iopYcFssGYDnHp71ekUsCAme5ZeCKqlJCWkAyxGCemfrVS10YLe5lyoxGFPTp2/CprBPLhmuHU7m+RWboB7Vb/s+aU8osanpk+9PuYy0Zhz8n92oSknZHVTVPlbnv0M83RL8JvY8AYqyn79wrxowGNxI6c+opFtjnCjG7p7CrEkXkx+QvLMdzt/Sm4a6HPKLZHKts87GBWVQcKS3P505Y5MjbKM9g/H69KWO35Bxn/PT2qbygvy/xDlv896zdNC9mMK3EbkBR7EEGpIRIUcFCAGLdOBxzTVR1XaD/AIGpVWVFyNy+oBqXSfcn2bbViMzqEUqScgZ5wKZBfbrpIcBQ7YyO1S26peS+S4VUH8WKpJGFvHZeQhwDVunFp9y3QnTtfZm2ih0GWGcnk9h3prwow2p9wcbj3qrDI8rhAdq/zrUjjJUEA4wamN1pYPYp6plMRpE2QMAg5z2H0qGWMrGCowHHX2rRKHdgjOeM+1VZULFS/DFucHgCtIXb11NXRSRjNBkHaM4PP41ZsYTDG0DE7dxK/Q8/zq6LckcqQTnGcZ6e3vTZ4tkBZRyrBh9CP8a6n70eUzS1uh/kcDgAe/YVEIgCMjvzz15xV3zY3kCAbmYb+BkAGnCIElsg+uf51zcjTsy7plVYgvJHAHPY5zjpU6rtBQk5APt3p3lgHFJJ8o2kF37KB1/HtW0Y2Gm2BjyBuztPHHekSMswklcoU6AdMVYhgeTzZppVwm1RGB8wz/OleLkkjjGSBVuXKS1zFfzjNmGT74+77iqcgZFIJ4JrSWJFTeF3Fh+IqMW3mku54pJXdzWCT0Odljk+1RyAH5TmtVv3iqFG1cdB2qT7K0kjfLhQacYtkikdgcj2xVud7Jo2VC17blXySBtHc/pUqR8hsYx61LCjOgkIALDGSOQKtvCqhV74yfr2oa6IwkktyosROAOrfoKlAwuEHy+uMZqXytuE/wCWhbnAzgUpjC8KcgcbmPWpnH3bGO5myRSearlstu459KakSxnLL+9LE5HTr6VbeNSSSfmPH+TS2/yS7FAAB5LdeeOKKclHQm+pFgnltzse3AqJvNIxkgZzgDqetSyqu7GSeeQ3OKiXyw3O9R1O0/h3rRq72N4uyuhuxgeR3PbHap7cE8Eeh5pFBH3ZRIMDhhVyEDH3eeOD1/8Ar1fNbcqTTRaiAT5CcqRkUM0yMUEgAU4HNLEodRk/d9RkUPHMp+SFXBGck1CjCel7Gd11Odu4d0xJICscnb0xUe7c5LAfQU15RwhLBBzn/PaomYgg5xk/LxkmuVyaXKyop7onulQWyu/zSbhtHfNVigjdVb5s/eUdvaml2DZBLN6nmkLHaWbHTucUQikrFVazm9USGXHEYALHr2AqeOEsQz8KPXvVO12i4jkuFBiTA+U4wKlF4k9xIlu4dI+4/lWrp+77rKo1IxeqLRBZy2MKvP1o8/BGc4/nTBNuGD1x0qpOS7AD1wPrURjcmpN32LktkbyRJCfunNXmkFuvuOKbbyrHCNx+bHNULu45JzxWPWxv8cLmjayp5mCeDyATQ7f6W7kAHpg5I9ves7TpS8h6heM+9aEjguGTPLjGDxx70nG02zknO8S0JwFVTknHA6n8+4ppnHzS55Y7UPbA9PSqZYEbVK8AL68k+n+FMd5CcgHJO0YyDgf571MncwbuTSSZAIOd3Ax3+tLLJsxbqeB99gf0qFXMcpkfBIG1cnGPemLLChYtMhYkk896ISS0uCaRbWQhFx6bUX36ZxTvtSKAN4yOp9Krh15KIWY8bmHQewqJ7iT7yhffjpWyafU0UpPoW7e8W88wLnyY32k54arDqCCFG1cVmiaReREpUc4QYyafJfBAVbKH/aGKbcOh0LnsuYtPIrPlsEE459uahM2whicE9ScHG45rPe7wTg/h61Gplu5DCjFQw+dwOFzS5rdBuMXdtmwJlZflYZBI+U9KrXF69spJOVxUpS1gRUtYwoGAXPJPGKrtCs7DzCBGScDPXFaOOl1sVRrxWjRYRmMSucZYdPrUSEkhOSMgk9ziklfapweBUKFgzEn7qd/U0J3WoqjT2LcchOWY4y/buKnSfYHY8Enb16e9U4lUtGrNH97nNOLckgrnOcAYqNGrnM072LW9WXAkU7Rg+tUXbLBeQuAMAfrU0hXylAAOW3bvXFQScr8pH19a55Xud9Gm+W5UmOw7irbmH3F71TmA25mSRR1wvQCrTt5YILFWJzmqrnukrM2e5/pVWsdK1KEgCjfCd6jrnr+dRS4bLDII6+oqWdvLceYvDdSMc/jUTgjD4yecYPTFWrMJXRWk3qfuiVSM5HDVXkniVWDyhOMYkBVv061YmYRt8wyMg+9RshFyI2Abj5Q4zVX6NGb01IEHnySzMrCNnBRSPv8AHWmzHrnp0q3GzYOPmU9UYZFRTo7gYiIwMDH3fzpNN6JaGbd9WRfftiGBxngiksNscuSe1SCHy4RESN+c9RwO9Qw+UW+ZvlJUkj25wKr1K9m7c3Q6G2kIQOpGdpOcVZkdyJC0hBCA8kHv6VQs5VbakcPYL8xycE1oySTeW58tQCmPuis2i4StsUpk2gnPynoQSOPpVRQ3mMuSSB3qW4eRs7l4KjoPwpLMGScyDtwwoSsXKs3uLtcJvHUdRVK4vhOjQtww4FW9Tu0it8Jw49O9Y9vGZ3WVxh/T1obM79x2no6xSpKDt3ZGa3tHXYkmOhxkVR8smMkdjyK07Nfs8JLD71ZykNJt3Y6ZlkYKeo6VaX5IMYAPXHUVTjUPJl/Xg1NeS7E29j0rNyZpEI38xXHJ29vY1Gy/KqDjPJO7GKWyA2Su2ScEKO5pxhaY7pDtTPGeDS1uVcESLczkkxqAB70lxcF1AQcEdfbPNOYKFKohc5AHcD8Ka8TOG8xgABgDpTSS1Zq5tpRIPtjqWVQMscc9h/k1p20cdwm4oBioP7PBcBP4RxjgVZhga3IVACD1PaodmJE0t6trCYQvXpzWZDqEiTgSHKE4J9Kn1G3IImB4PXHOKghgZ8Er9CalpdgSuaMjKyjBJHb5sZqBHdOBESMH6f56002skalgT8vJHqKrTlwowx9RSSCSsXfPDOV2bfY8jpVuPy1Dbchm/AVhxzOVB/iFbyNHKqlOTjOc9K0MW2jF1i4BZYRu3FSTng1gCNYt0jj1OK7C909ZtszqCVHJ9fasS7sBMViVcHhT755H9K2TTRk9zm3vmeZQ33CcVo28St8soypBG4DkcU7+xVTaX+pFWF/dKWCjGTz3olNJaFRi2Q2NpNAwDqSPXsfetMWhaVSJSFB5VTVNZBIxBY57ZNacGU+bjqvPbp3/ABpKT+8fJ1R1GlzIrxnn0JHXAralthPEB8rMD6c/jXNWzIUDFSuDwRyOR/jXU6eXmjhlQlwCBjOenHWrhNJ67CqU+ZamTLYMirIg5B5HriqkYMzLIMSL1C9Dx0APSuov4J9jvEY0UsAUAzx9azHs1hRIUGFRdpI6Vvzq2mpxey5XdmerxsrD5hM/RWGCP6VE8J5wSO2ep9au7OAvVQCTjpUbgoPupgdie/tVKyMpO7KyRkqeh6459/8A69E8BXZOB8y4H1GalZblRHutfLR32B5OPXpUhhAABmz9apxug8hFKyoDgHB3DH1pwjIlLc9eCKjhZbeQnO6PkkrzipbW8tLgSMsoAQ4IPDH8KI076idNroQsh2urHgngjrUMkQijE0gL9APrWgkkMjl2XCjoKa+Lu4Cr91PSs2tbFWSV2jOeNvMDEnaPmNSJGJIzK3GeFFWpoN0gjI4JyxFOaPzHEYTO3hcd6LESlzFdYQjKQp3qMmoPI3yMwGc8swrQQGSR2diSARmhYcxAMuM5PpxTUNSk+jKQTavy9Tnkc5xxTjAASOoParG3G1zyemD/AEqRmhSIO7AD0PBNXKF9huDSuQRQJjfKwUgYRT/FULxvI3Q89s9qfKj3EiM+QgOVUdqtBtrgoN7gfMo7VnydyeuiKS2xjRxGuTjHHenQ2Aih+cfMeSauQSGFXaRc55zTIL5L52SMEbTg5p8m9ipOUrKRFBb7TnkAnArWgQbQBjvVYI8ZDMMqDjK9qsZXblW4Ix9KmUGtRRj0ehHcAbSF4yeoqk6bmKgkBeBg9fXrVqWVpGwecdfqKhZCAQvOBnH41cEOctLEe3BIXrwQPX/Co50MwMCfxN8zegFSnkvt+6FOG9CRU9vHst0BOZCATzVyjoZ07t/1/WhXK+WwRBgAAcegqWMq+fmACjDMTTbhAhHdm96ptG7HaoboSRVwjGxsqd3qWmlZpo4o4GIOXMrcbe1WNioDtOT3I7mkEEiQQF2JOMMPSpFxlRuA5AApS5ZaoiScXboVjnaTkgFgeParUYMluoAw/wDFUYMJH316KOvQdKes0UZmVXD7lDFV5Pv+gqeXmQ42QjQhj3C+38VROfITaiEKOT7ipbW7jukkZFZWTqGXBxT9uUct0cbQPUGndRKk2mg8xYoQQoOR0qpLExUj+JuDntVhEIkQ7NxCk/iBxTyyIcyts9S3FLS97l+1bjZEEcYU4wPl9aU/xEckkAfWpvMRgoB6tu49O1RlWU5fEZ5xv4wOn+NUpmbjfcavDHbvJ4Hy/Wld2YYBP+6QAfy70vmREBEbK/Xk+9D5K4xkDs3anJMyZUcBMkYAHPA4/EVFtKrtB5PP0NWHQk5IJz+dRsu2NpOmOfxrK2uhPI9xJ181A4AO4ZI7g1VV3zxjOOCwzVhspCmThuv0zS+SJ4hIowTkH2IrbSyNKbcWMREkbco2Oe1TLuXKnr1H5UkcRb/ZcfrTJ51IQK4DHsRRdm0YqUrdC+JVWNJVYA9Cp71OmqxRrtBUd+tZBine9LSLiIINhXofX6U5lCtg7T6ZOKlpSWpnVhBSajqcv5+Dk8gHgZqWKXcAQG3vwpXjAzjNRtYtEoBBKg4HfNXIIGijMjD943QnsKxlC2gudjRHtG1SGPqO5pDEVGzq3cY9P/11ZWE45+Yn+8OtSLFh3BVuE3bSxIznHfkUm7GcUmyh5ZOckk+mMfhT0iSHgAB2I3Y6/T9K03tBCnzct6CoEgIfe3PTApwu9S5JRehEkewGSTgt2PYVW4Db89BhR/M1pLbg4JUPnpu+tTCDB4UZHoMd8VXJymc6sqjMkvK2FRGYnoMVBNFL/ErD6it/yiqnIBBP4/WmuyqXCPvAOF468e9St9EKVSVrN6GPZt5SquMY/U1fMygrz8sY792qQOxyCqlf90dKekMWR+6Q5GVyKU11YrN6FP7RGAq7mbA/hHfpTfPjIH7uY8k8tWmV+UYUD2wKgYMBkquO/FZcl+gnDoU1+dsJG3TJJ6AVC87rynAPtWo8L7VDAgEZOOmKjNqJDtA59qh09SXBpjbF/tVrlUCupKvt6HjjHpQ8B3+/tVqADTQyRKzmUjfkcfX2q0IAVPctWiSWxqrpJtlCOIpG7nqR0NPMRSIsTgE8DrkY9Pzq55IfLMQqg8n/AD70x0V3LckAcZOcVUYXNHO6sZwtYn+aWNVT0AxuP9Pwp8cAVNqKFX+7/j61ZeI4JY5wPoPpT4xvk3NgZGOOK2jBJPuZybuuxWeLueQOaaseFYenb1Naj2oHU8DmojAWTJ4Un09KUHfc15FFXMx4lO75AcHHH+NTIiDzAsfLPgtJ+XX6Vb8ksRgBYwSeakXYMBULHPGOMU3HQhvUzgpBQhUx1OOfWgbmyOST0HUGtI27SjiLLH+7gH/A0LamBZJZNoYn5Vz90VEnGK1FFc75VuZ99hNkY6Iir+OOf1rNd8ZOeRyKt3RLPnP1zWdIfn649yMj/wCtXPFp7nrQjKCshTMSu0gPns3/ANes26UIfOgzlfvRn+lXHl2piVBju3XNVpo/MUAMQezdxT5UtBqVndFeWRJ7YnHysM1UjctbnJ6HBGeuaSGfbbTxyjEsTY2+uen60+2xDFIZB80hHf7vFNJqSQ5NKLYzbuDMeFjHA6/lUcimSFJepU5zT5VIQAHAzj8afEEKvD1zjNW2YOVyqkn+l7McPkjvUl3GEIO7sOfU1A48i6RSOOmannkR0HTIpLQEm9ivPFGsIJ3cjJA4FQKNrjjuByfxrQkjDQoVBI4y3qaqOm1vckjPuetOTsF29GXLG5ZQpC4O3ea2H+aEYfnjNcsCxXaCwBUE84rRa/EVpHEPUZA6n1pPXYKbSfvbE0iuFODn5cZ9OacrmC3bZne3eqplMjImeMBmP8hVlZRJJuAAVflXPUmovoaOF3cqvaNIytMQd3bNWYrMB92cAcEHrUu5I13kh26c9qPO+/Jn7uEUe5qbtlRgtx8aeZLnovVvwqR5C/p5fb2qMSOMKr7exwBzS5i2ozMcKDgetFkNxZYjCRwkMwJVh+Gar3EvnSmKPLHfkAdqcstuULOpYls4JpIZ1blRsUrnCrjPNJq2pKb2LsFsF5kbao/hBycVPH5RPGWIJ7VHEygtmMnEY/OnWj5D/Ifu5B7ZzWW71NoJIhnlbaScnkn6YOKqeZICMKfvHt75rW8tvL3MY4k7FhkmoJBxuMrN3yAB27VelhO5FbXbclmAyvXqa2IQJFRmVeeFJOP0rnpXCn5lyRz83B/Sr1lKxClWLIpztbtWTSTGm+puGJHQhgWXpgAYzVZbdUcqFAH6f/WqhcXZVsL1DZGRzVq3uTMjEnlXAB9RWcnY3px5iyuDjuCSMHtntWc9tjchH3Tx9OtasQ3W6v8ALlmB696V403knGN2M+1F9Bzi0c5LblWBjBqazma337wcdRWqViHHXr+lRfZonIJAOex701IxlG5Gl8rIN+cAEn+QqnPvmBaNNpI67eg6fyrWS0RtuWXOenQU2W2crgMeVGPx5/pVqXYzcLPU5x4JAxDBuTjJqJwDGeOW5x6g9a25LdyxJBOSGGOKx55VMuNrHBx70JtspWirlCIYYDr6EVtWY3QkdcdfUVRSBJH4PJ/CtC0UxvhvofetJNbkw3sbNmwGI2AK8EH8K6PR7kwXHlbMK6kDBzg1yyo7KyR48z+EHjNbehwzPAZbgmKRMFVbuwPasqKcrts6cTT9ny2OpT97lRuI+62B0FU5I0wVYZcfeJq3GVJyRyTwe9Jc25LJOMgAEPnp7V1Q1VkebilzrmjoY0kShvu1WlCghY1+bqSTmtOaRcFynP3VU8ZqksRGXYfMfbOK3p6u7Ob2bjFN9SB0IRQxy45A9M1K6IUDAHkZxjpQw6kZ57+v+NKvzWjR5wIzux3IPvVpu5Ld9yo4QcBCSeF7UyGw/fidkyhByR0J96sbDK6xopUA56VPNMbdPLi+6w+YZ6fT8qbcnpE6aVSEE+dXMa6kBQrHkH+VO0KeS1kk89SU7GpUtgxLk9afArTOU2ny05arqSfK4oxtCTvIvuVkVnU8uaYpYP8AJgEDr6Cqk8c0kqLHJ5aAgsVHOPSre3zAeMKOOTUqPdnPpfQI5UaBRDEQwbl24zTWeJATJLjnOBzSlDnBAA9MdKiMWCpkGW6hcVV0awpvdjGu+dsERZicAv8A4VHZwENulfc4YszHv6CphGVPmHPmFTgjtzUwQRiNAAw74/r6VCVtWXOq2uVPQTysbSVJOOKUReQC7dW5Yd6tIh835gOfunNRuhWVhtICn5u4J+tUrMx1Tsyu6fZ4vnyHfnH8qprbsjBYhtJ5NX5AJH3OxOPu55ApsyPBD5mdwc4yP51L3saQko69UQNeMqPEoy5HAHrU4lUFU3fN6A1FGmAVHBPOSOtPggSGbzQCshBXJORg8/hVe4lyk1a/PK6RMFIkBwc5yfpimFjsVF4Z+v0FWMKELNnaOcHqTUQTZh3Pzt6c4FJPl3Mmm9SN12KAAdoPQDqfWoy0ykt5bbAM59O1TsHK5Z5PXHAqJkUs2JDxxnnNPmbeppG0VoOg2GUeack+tTJ5X2h2UfKOM1AY0bd8rMT0YEAipEXbCI1U7eobOee/8qbs1uaRq2ViSScSIyMPmHPA7UgBOMd27/mKWKJWcbjj5T/n86cqgRofNVOOSvJ9KNLWMpS1uRHJ+TYT/sj0pQzmUQKigsNzAChsgMsIKBhjJ70sYCO2xskjG4nPFDSLpvXUSNZZGbzG3IgIRe+atNnO4YJPQHtSDy2hYqRgY/GmFueecZHXnrTb6JFTjd3kRmV2x7jH61GZnCMevyjr9cU0noQTnOemD/8AXpsdvLNIkcbDAO5t5wABzjNTp2JUktB3LOwH7tQednU1YiggBB2ggn+LnP51A7iPgjaB2Pc1A9wzYCHjpx3oatsNPmL/ANp/ebVVTGOMEcYpzKki7o/lwOVJ/CqtsPMYL37n1qd7KV9USYSExLGY9gHB/wAmlzXvZ7HRGkkve0GhQ0QYgA7cmoLhBhVzk5zirkwGAvbOfwFRtA7AkgZ9O2c+tJvS/U55RUX5GfIpZv1NSW+Yt3GVIBIqZogCx3ZXON368fpTcfMfvY244A69TSjKyszJpyldD7hf3BeHGT904qpBB5eRICRnNSJHI8mS7HA+UHpU6R5jJPDA9D3q+a8bRHyuL95ld2aNl28oRxUqiNlBZXJ9hQ0ZRUGOhOAf0oCB1BLFccYp8kJaS0J5pL4TOeNSVV/uxnIHak8rc+SPY/8A66trAHjQgHJ4PtStGqyyISQ8YG4nvWb1dnuNwdrrYgSH5eRgYy3HH5fWpY4ynUZGSWx0AParnk7YIy4ALnhc8j/61LFbknkcnrWbbRGlyv5IKt93Izls1ELYYDbflHY960Ht1TbKDwp5GeCD/KpVTf3J+UYA9vbvW0Gnqi3e1igkGCMjkHB4qQKEQHAwD9QT/MVdMO4DGOwHsOlQPGxcHjgg59PWqcrkuFkZsquwO47iBgd6jWEhsjr3zWgkYwO5HJz3NP8As/zZxx/9as7WldhZbFFIegC9847j1qTy1Vf9kEEY7VY2gJjoPf8Ap6VESMZzg45c8/rVS11FoR7OMDDZ5B6YqN1QorqMp0PuamCndtIOTyV7mrEdp5Shpwglzu2+npUR03NPdUbvcpQQT77iSSX5JMbEIyR+NWBGsUYGeerGnSuDghjxz9aYBIV3AbxnkA8gD2rHRu1jKc3N3vqRhCXV2HUVPEm3cXOFxk5/z60qFXkBGOvPtTid3CkBemTzmqjHUQxxlgmOvJA9KeIyzHAGMcjPNKgzuYkKCwznnr/KlxkKjkHYxBKnrW8V0LWhXlj8xsjJb3603Z5f8O5vQCroUbSACCfamGMgk5BA6inZ31NHUHMuAE4IHAx/KoyuH2dABzjrUseVBKjoQKXYFRgvLtxn0pNe9dBDVWZB5JbgAADqzetGzJwrkjuR3qdkznGTz1xuz+FIHVsRNxnjcDx/9am3oVGL3INp353cVWvJAU4OeKuTBQpxWHcEFmw3T9KyqSulY6KNNX5ipcBjypqkX2sUfh84q7KWUEAjtz7f5xVC53IxccvjPTBrncbane5JqxAzqUYNggdRnqM81WZ2iOMFjngdzT5HCGOUYOf4O5B9fxqLaY4NxO5z8zcdM9qcbtOxg/isiv5SnUJp5F+dhgID8oqIuQSp/GpC+blCe/pUF2f3nfB5Iq1Gy0CScmWWIaMSJyAMY9DUcYEaGccu+ARS2sgeLYxzuGAKYN9vKVl+g+lVZMyfu6MW7RJo94OJF79qp79wxg9ccd6v/KDxyjVBcWJdDJDJhh0U1L0VileL5kTxKWt/mO5h0A7VA8WCAcDAPAHPNU7LUTFdpDL0kO3r3rUmXcMurIv90dTUyUloxxs3coGM7SqD5ycHA6Cke3xjdxjPU4qSS5RF2xRhf51RlkY9ueeSM470ttmVJdWiwJFQNtcbeMkHjjpTBdxsT/pCqB6HJ/KqSxPcOu77uR+ozVu3tPOLBxlDwAemKbSW5HtZNcqRqKqLCjcNxlR2+pqOSdgF69d3Aq2Iw8AIKM2MD5ug6VHJYyO5C7QoAH3hWd9TWOqIlkfOTu4QnkY5PNOZXECYBzjAFXRCsMMrmXYAQODkYx6Uo2fKNxZgv3j/AIUKSbsdDpS5Oe2hSyYoAmMtjk+9XbTaGUbQSR1NVplyAo6nuetT22FZiOiJ2pNt6M55JLVGkJUQyMI+c4zknpTrSdpc8EKM9BjtWZNOYoiAeuT+f/6qmsJ2lZF2sV6nb1NZ8rKVR7Gk+53Y+nf0qMFD0jDe/Qn8OhqwyZjCsu0Ek4Pf0rMuJd0wRwcHoAOg7H2ouzeMVYdPCHXMZ3LnkEfd/wAKfp6GKQOoJRuCKfaDbKRIdyMvWrqwCKV0B+VgCT7H/wCvQ5Jk8tmV54VLlveiDKQtt7nPNWAhlxj+8Vp3k+ZtC8D+VYSWhvCSTuh+5VtlBONrAEhvxo+RiT5i556cnrUDY8w7QCCc89T/AEqwmc85zxkEYNXFJIipUc3ckeNYyePu8DIpqKpAIjyQQDzjpVrBJYt1JJ+Zv60wlFBDKVDHPXI/MVKjd3JjK2hGk0dvgONpYnheT0qQXkLj5TlsdCKjeIP82QwbpjtVNomSUK3XOM56UJ9y6kI7rU1I/LmClecdKwdVsTBfMwX93J8w9q17BCJizA7cZI9DVmZEugdygr/vCtF2OdrU494DHyMgg1NBMWlAYZBIFar2oSRlP3Wb5R6U2PTwlxuXkYJPtiqWi94mbu7JFyGErIEb7ysVyfWt60JCjJ46Zx0rHTDEnrkZB6YP+fWtO3kIUhjkdCOhNZJtR0NXduxu2skZBAUNnsTwKuQxJKudxDOu3k/KPw6Gs61/clHdSQeo74rRCqzs0QIjDAhSecGtoTaS7mcnG5TnhYyNv8vcuc8YFVpAuNroyjPOz5hjr1HSt3H2gCTHPOR7Yx0qnfweQ0UqcRtwdp6GuyM9kcEou5inYWyzqCegY4/U8Go7lFihlLNtbYQoHUmtKSLccY4zg8cH8OlVHt0jOVQIRnO3gdf0qrpsy2ZXZi7KqERAgcMMk0klozAk5bjkgVI0UjQrJjJVsNu7irEioThODwTkccjtWkbvoKUVbczCkkYIKjaOpBqSCePyBDAQZZGLMf7oFWWtldjkdxjJ5xTDEUbftX3JHT8apt9TO11ZDVtiBjnHUn1qZYAgQHJ56HucdwaeJMfeTaq87sbh+lOaVOS0bvxtyDjioWvUlaEIURwtI+CFx8uMbm7Ckjt2YGSX/WsST3AFOdhK4YbkVXyqyLjt6j3qdCpQgsnT++OavlvsaubtYrmME7unOPwAprREOMnnBwfccVbIj2gll249eOlKY96fKcgcll5PSobfUm2pVyVhZ2XJkGAMcfWo44yg8tCQBnjJxn6GrOxrhd+0rngLnoBTNrqRwMg5z2oi0kU4yehE8YUBypVhzgcZqsQ3nbs9Rn04rQndRKc8N1UdRVVlHGBxwwH88VbVzN3WjGxICAT0ySCBnNSlPlAI+bv3GKWFSGBU5YZ5x29xUjqDhVztUYA6jP4c0nFPczXcrfMgUna4GNqkkH8G/wAamjjJO+QDzW6BzjH49DSpGCysxG1T0B7/AORQW4ye/UGmlfcqT7A0ZUkuPm68jk/SmlScnnjn5T0/CnwiNztjI3HqoOB+dOkUoSGXntmiUbDiyqEJYnjDcFgPxHsaXPljkYLDg0rsD0OCcj8e2aYHLuMoRtHGai+txudlZjwzsfuoeOME/wAqQSIGG6LgAAFDg4+nepo02Y569DTGtyvynOaFKO9g9pdWHptk/wBWxbJxnbt/So5YjsYlunT3qRXFvGruwVN4QEnA5NWJkGTuwFH41pyp6oSm0ZYmZNg5xxn/AD9KQSEbWJ4BGfof/wBVSSpvy3Qdsjk01YSVy3C4wc01YHNsYSRkHLEfn/8AXqTcUTH8PQere9OV4rclijO5Hy5OMe9MQrkEkkMMAnqD70nJLYFCT3FEsRheOSEM7Z+cnlRiqSReSgAYswABZvWrpjy3cgdeMZpFQE7ghwpzg4xn3qU0ruWxqmlZLcjjm+zx7gfmPWtO1u2WIMw+ZueTVO4jjlKNsEZ2jKr060oVjjDLkkcHIOPxqHE3eIuuUdOzPcEIMow/Lmn4klBHRecfhU8UYl3IoAYLxxT1iVTzgDggn3rRbHLKTbKhh3HJGT157Uhh2gZIq9JhRwck4AyKjjjDzEHovU1HJdlt8qImiEWxip2k0kqoY2RmG7OVI64qVpVkzCeinC1FFGAS7cSJyB7Vqo2Rne5EJBeQbFBHlH5uKBEGGWOD6VPvGxtqgFyCMcc0piV8EoDx1odthXtqVybaRhmJo1IzkHJ/CiLywrOIiwc4JfqKiJOyNeAQv8Ipm7ZEpVxuyTkc1zzaLVWUL2ZcKhm3BgxAAxkZFSBW52ISexxioLcGVXeQKUjTeWIxjn1oSdpEDEnnnBJrPn8jKXdE7C5IwqI3I3Dd0qJJVtZGD58vkkYzjip4LiO3jYY5JyaTiVi7DjHarUup1UEvt7EqXEVwgaJmJK9xg4+h5psm0KRx0x7VS1QxzQ54VuzLwRVTTxdi4lim+eJY1dWJ5BJ5FVdtXRTjFPyLRALqnI4LH/Gp4ZC9ojN1ckY7kZxSCLG487m4J9BSL8jhOgIwtON9bmVSUXZLoRShuT781DjaNpAckABW6cd8VbmTaoYjJ/hX1NQiARklxlz94+lTr0KjGFryYkkv2SAouPMdfmY9vpUSSCVgR129M+lRXbb3yDVNWZH3KSDn1pclo36mc5KUtNi5ONuRnHHanRAq7sDtx6H+lSSbLiBXB56H2NIsW1SOzfyqbGFrMmE2cNLErk8BgdrdPb+tJhcAKsqnHA4YUjDGWbjPI4yAOlJhnHIYJ3YnGfYVcdFqVvsOzHziUMckKB7HinIVZubohv7uBinLCFwoRSTxxwfzp7xBflCqy/3WGavRlxGSPLbYkyGjzzg5GP5ipiFOAPu/eJ9aj+z7Y28snyyMNGxyPwqW0UGzjyfmUbT9RQ3ZXRUkm7MQKflyu49hSZGACzZHbGR+dSthS3YDHPvSCB5QwUhVTgsev0FO9lqEd7DMxtx5q7vQn5qgmUMhwfnXkEHuO1PlWNBtZVYf7S5/XrVOYiIZjZip7E5I9qHKLR1QhKLQ2eXcrJ1OMj3rClk3ydW6FSB71YuLg+YrepwB64//AF1UwwMncnp+dcU3dnWkoIcTztPDEbTnis9182UgZCqRnuOvarUhGQG6k/fI6VVn+TEa9Oo96bu9DNzsU53DTsyjgcAewqO4kYRgbsnHB9RSSbg4IDc05/3luGGcrxzxWiskSm0ynIdk6Pj5OM5/lS3UQkUkkcdAKaSGBRjwfc04bzbA9SvX6VotTTn1KscpQ8HDVbQi5HksMSHvVXyVlb5Fy56Y7VdQeTHtDhn6E4qdURNxtoBge0QQ43HqTUMkjL8iA9OtT+YrfIzHn/GmyDjau4k9hSdupEW3sVbeOFLjzfKy46M3Wr7P9oRywyRySegFRx25UAEBdxHVunHNPddlttACqeSWfGaiV2tDqpxUHdmcIfMxxnc/B+lPNllWJGcnmrluQo3HaNnAw2ahe824HYdKhwtqjSpUjPbYYLRYkIx855PoKhchCFQcdOavRNHOuB97GSD1qGWHLjI+XNJO+7OWStsiGOZ2TaGwARx+NXYwQWL/AHgf6YqoEKozDqD0x2qTzssATjI2n/P4U5arQ2pxtqSSXJ+zleBkL29v/rGpRODJGRnBX09qzSxY7SOeOPxqWMMyBcZKHbg9R6VjazOh1Pd5WWnf5jtBYn7pUZH/ANarEYMUKxkAyO2SAc4HvUYcQDJYmYDoe341Xmuiikg9epB61rFNnLJpajLyXfII16ZGT7CrtlceWu1BgdM92NYhlA/enlDWjZKxcMvIxx7Vc0kiKd5M3orrZgyBNp7seaW6jEkf7r/lp0Y9hWfKn8QbkcAVNHcNJZlT9+MYH0rCyep0wm4u6JnfbtUEkhSOKu20wldozwWjGPy/xrLkcPiVcYBIxnt2/rU0TGOQbjh0P3u3NZ8ttDST59TShLr+7wfM9qtlowhUDazDL55H4VQlnaNdzDhvut7VHFcg8N0zj8D1ppJ7mbvHQtvFtkxjGex6H+lWI48DGDkH7h5/KoLUtN+7Ybl9a0wUtwFLbnA4ak+w1qILVjycAemRk0x7YEZU8fxL3NNkYyNk8ljwRUtqr7VRzk5OD6U+V2uS9CmoaKUQsDyeDip2hDsr+mQ3HbtT7uFkljbrz0qI3IjRjtwQCOD71Djd3LU9LEhIgiAGAWPXPT6GmwOC7ZP3hwTWbPemR2P3c8fj0ogusSKVYDLHPpjFN3EmupoycuOTnPao4xstpJGHDNgd+KWDNwS24EBckqfwq95IISIAYHapbvoQ/ddymFKvuByAcVsWcCyL8zYMY3Eeo64rOgt3VXTGcnkk1pxqY1UoGJ7mmot6FOpFLTc0LK5WQ4fAB/StJYQsokRztbrg1mxeX0ZOfYc9KvQyAAANke4xmrvbYyVNy1J0fypDgcDtjrVkhXBjlUhWOBuHv2qlflmiLRNgcYIHIwOtVdN1OS9aa3n5kQblf3z0NbaOOhDikrt69v1LMkOyRlAyO2MA4/kapyQ5bPQKeMfljFajKCOmccHPaq00QVd2OnQenerptnI4amZKT5WFXCg/d7kdKVMiNMEFT8pJ5PTimudxEY6DrT87mJH3sBAw6j6/rXdTasYy3EVQAAByOAp53e9SywLyMdOCM54p0WN6qBkyDB9sVKH8sKWbLJlWBH6Vdri2KrIyoCcj5sj3FMck2zbAS6sAwPp60+W5MzqGITbwfLGQ34Go3mMhEaLtUDJGOtQ4pCm10JIVLjGBkHnNRSwxMZd0CnB69iMVKB8qyAfKDz9PrTliBJQ8Z/n/AFqE4x9TNTsRpGkbZWBSCoHXrxisq/8APucw2zPbFSQfKGPx5rccpawbmU72yqn3qqqHZhjlm5Y00k5XXQ61W5YOLV7lfTpHs7DyJHM4RifMk68jpx7irjAECSRsY5CAce1QTR/IigcMQAPx5qbO4kg5PenyqbbJg3G1ijMjs2f4s1IEBGOCMY5Hb/Iq01sSN2TiniHjBz0z+FPVaIdSPNqysVGMAHLHb68dfrTtjYBILDuV5H+Ip4Q72Y/dGMfUnP8AKrEaqSScZ/Xmk43V0c8oW0IUjVoBIykZJwvQ0x0TOPLHPrmrezLHPJNSrbF2ycfWnd9C4QVtTKnBVFUDBYgnA6AUyPcbdQ2WYscD0HWtO5gA4xk5GKpCMggc44/niqTTjZiqb3RTZDkkdM5+uD/9epo4SAR3Xp9OlWFgBGffaf8AP4UrMFx9drVhJdDB6jSqhSDypwR7ZFMaTcxRQGPd88DtTmJI3HA44DDsO9P8obWjXgBc8GqhBLVlwp3epn3FumoELMSVjOQM/Kau587LEfKDwg708QbEGeOetQQsUvCyL8pHT39a0cXLYp2WiHGI7jkZPfikK4GTk9gO5NWppYolwVLSH5to7HHTNZ813IMssUZ9m5FTGnPqNcqIpYWdixGSTUflsqkj+H+nNadqTd2qSMoSQ/fXOQtEtupIVcZPGfajl5JWZ0R5ZRbKrRebyvfn9M09Y+A2M7gQcdc1djh2R4IOSvT37VH1ZsdODxyKuVmrnJLRkCpnnIOOM+3vUxhkjyuOOflPQ/5FPCBeTwORnGRUqx7gT5eRjG5GrK3MJeRXICMHj+Vx91H4/WgXSyt5ZDRyAfNuGBj27GrDo5GIwo56Omaj+znbgMWBGcNyKcXbfUq9xsalwXbqvCL/AFNRyK23CZBzk054go+VmjBP8JyDx6Gm/LGN8sqoo6eprVWfwhqtxrYO12wGHT61Mse4+ZIwXt9RSoA6+c4XycZGOpqszmeWVydsQI2Iw5FTfXlZqoXjzIUNEV4ZyitnKipGkiU4+zscdzTVP7ghd5G4DAHHBqwiSEZKZ5PVqmTtuYvuZjKcLxx6Dk/nURUsVBwSABjGCPx/HvVspuXdswCuc98f1qS3jXe0hPEQJAPPNYyiTZsguMR26Wi4IPzSfX0qNCoX5TkDjp0p0iMWMnRmpkiM7bIzjHU5o5L6Mu3YrzyNkuAcDnOKlt7xp4toGKsNMY7NrfyVd36N6URWq20YQffPX61TipaWNItx1uVjEZLhS+Ni8n3qxEvzOSAc4zkds/8A16VlHIycd8dT9KkTbj+Nc9MrnP41SjyoHNy0JCqjJI43EcOQOv61FMAYyu3Mh5VR29yal3bic8kL25B9/wCVIQVBz/rD2IIxT1WoJJ6MaFcZklKmY84Xoo9M1E06tIUyCwGQKnhh2ozO3J6CqUemzNevcMx2gYAFXF33DkXRkUkfmOVwKBZ9C3SplIRmBGG7Vbj3NASADgkdOlE0mRyNO5VjiWNSgH3mxTvLDKNwPUdOwqfDK3LgfMT19KfGpAICb2B6ipjCxL1ZXXdkkZQNwSnBIHb35pViViM5Lcc55qwVdXwELt3JOAKCqsp3wIuBgFM/rRZ3K5LIbhYiC2d2eOMYqdYwQXcAEA1CFdW8o/OhG4ZPSpUfzVDgFc+vU0OzV0EbrSQxRvYuOAR933qu+YJB2Vxu4Pcf/WNXlGWyccEdv6VXv1Ets0Kj96xGxv7oqI/FZgnrqLGC4eRj948D0FJJciCIrn3PvQzrDCFBJwuN2Op9axb+5ypFZTqXdkjto01fmZJc3ySK2D061RMzOkeeRuLHPpWT5xefyiflLZJ9v/14rRaVQoAx06Y6VF2ehUjHlsipIxU7m6kflUTN82c4PvU075zu5rKubkRsccHpWcmYuMmTvKZDgZ4OfqDSNE2IgQeQRyMe9QWr+bux0706eXLgEkhe+acb9TnlG7sipKhBQeXH1B5bnninW6f61GKJxg856+31pLsQiRcEkH0NRkoplKhh8oIwKpNlyjoRAIrA5Yk4xgf1pSVB3lt5bJGBjFCx+YWCfUbjyeKjUR7QDnjkce/PH0q4+Rk5NaDnmYqMMApODtUA/iahBO7IHTnP40kgYZwMgcfLzj/D8ahdCThdvTOQCP58USkLfYu28QLBjlj3PYVYZoI1+Z3LnjPbp/jVOznISCObBSRsKV6gdsin3KHO5unUVN/IqHqSI8GQc5wpJz+X+NOkkhSPAIXCr7D/ADxWXhgTnIU8fhVkRFlJYZLHHNW1obp6E0AjeN8MOp+6cVHJarjjOPzqSJkjVm2Nk5PA796bLcysAAix4P8AE3P5VjLXQ1pQvqyrbpJDqEIQF9ytu9Av/wCutRF3h89j+uP/AK1UFnC5AJZiPmKKcn/Cle+KjhdoUbsZ6mp30JqJJ3TLRiyM8bWXH+fxqnMgADc5U4PtTXv8KU9Bj+oqMXLO24cnHPHXtVcrYo1EmP2kyDIJJHJAyMe47VIjyFU8tQDj5VJz37GnBgwztCOBwwHangkuuVBDDII7Gpb5RyvIikYKSVJ3dRu6iqLM7S5AOxvvAdjV5xvYs4yVNEccIJMZJ3c9KuMjPlvuQwWeFK5JTOdp7VqW2y0t8qO1QKq4Kx8N6GiWX7gMfJGG+tTLXUtWWgLP5xZkJ9dtWowzKTH98cgevtWfBOsYLLCflbtnHQ0+21Fkk3jCem2nydRc+ti5vKsxB25HzAjj8qsxTRh8y5QkHAxlTx1z+FV7g+YBIgHPOVHX8Kp/aPLJUqoB7YOD+FZyT2ZrGXY3I7grEqqd+RyD0qRY0k/1kDjHUDpWGskDg8mMkgDFXoDy5W5OAOhNZcrNnUukmbUV5HCPKjI6fdPFT+d5ke9TkHgg9jWK8qhgZE3f7S1NaXYhmBV9yNwaSQ4ySdzftk/djdzt5OaYZxJIUU8ryM0RS7GxkEMOo7U23tcXjTk/L3Uniqi9HcUld3RrzYmhRto59O1Z0lpuUY5zyQfargkPkkxdR2zQpWZSE++w+f2pWMndM56a0KqXGMZ4zT7C2LZlYd8ID3x1/nWlIoaY2+PlxjIpZQEljiQgFBurOXN8JatuLEFQOuMZI+pFW45Au1gQWJz9AOKq3GNoYD7wzt//AF1VWQ52k/w4/wAg1cVpqYzd2bQuAQEjUFRgdPvHuf0qxG1wSSUbbu52isqENIDhhnDEDp2q7bEhypzzz1zWljPrqbEKNKF+eQYBAB6D6UA3MA8q53Nxghj0qOFnWJ8Egr1APUetEbCduvPbPelFWTbL1bsi5AzqcAB16FWOc1Oqwgfu1EQJyQF4NQQKY2XuQM4pxYE546An/PUU4yT2FVTa94uSqUZWPRxkEd6gLrGZFkP7vZvBqO7mmhswYX4B2k9SuaqDGCoJYZwCT1ranTtHRmCnG7UkVLeNzGJHGHfnB7CrCptG4g5A+Vccn/JJqRl25ySWPRRRJMhbbGjSPnJGMgfjXZG7OZqzGnAiIPYgMfU96bLG0ihSSBj7vrS5dVz5OWB3cnuf9mmNf21rsa8k8rzG2ruB5NbrRWT1DkcveSGiAoT0yAcH3oKhXGFxtAYEfw5HNWpQpwY+nSozyS4BGFwcc+nUVlNGM1bQeEVUJYbQx5I6EU8R5ZImA3+p6MPWm8Bo0BwGG5sdCKN7eU/cvx9KzUTJRsQXUvmTiLJMUfUH1pgIVhwTv56dBTgAq7SSd3ZeSaNxUOAqoAucscnFbxSitC1q7sikYkEmMBRwDSaepiilL4ZXYeX2I9c08DzVy/KR46jrSLufA6Y/yKadtjZSjy26ltpBtHfoPwoHzA4wdxI+gB/+vVAsxwON7fKo7danW0aZMSTuF5+VOABQ7dAem7HOSx2xKDg9c96I7d/M3ySnGMBE4FO3JEmxEAAAAPOTUts4VsuQT6ilyyWha5XqyRIHz8iE+wPJpYrv940ZXay8MMdKs/ao8hR1PpVW8TbcGUDBZMHHfHT+ZpNdjVWtaSCcjOe/Bzn3/wDr1UK4OPY/p/8AWqKa5Kls91I/Hp/hSRSGSTbnpy3txipvZ6GEo6EpfCgAZYsCQPpTEj3FSSMYDHPqeBT0jMrEj5Q3v2p0hEaMpOAcYPpTScmZchGVP7w5PTHIqSMsS/Cn5FXLDHGOaeyjcQzABxuGTyfoKiEZmyWOFPQZo32YXtqxs3mSKuHDfQcVXCGJvMb9a042gQ+Wv3VOOfaszVXd1McQypHWmm07HRShB6yJoYlu2LpyPWo3tt0gUdM8/hUVhvs7HazHcx9avxsgjGTyQcn0rW+vvETivsENuhWJgGKhmUZXrVxF+c5POMDPbPNV45QWVc8nHTtV6NAiYJ5BLfj0/lUv3kKUXHQY8Q2ge3GR+tRbQrEg84yPX0NTPKY8KcFBjJ7e/wDSoGfO0jg52n8qy6i5bq4FSJPlwD+n/wBao5mMEe6PAYdcD+dSkqAcsGkH3UHr71Wt7W5MQkumTc7FiiHIHPHNN+7saUqSle7sX8qIELf6xly3oPSo3bjGPeoGnLuV6AHpUjHMfXkqxJz05odt+phONnoQSMduMZ4yeM1n3DBY5GbH3cCtCRS+Qq54A/XNRPFGsgaT944OdvYU4vsXSUW/eehCVKJFEwIVV6etLKPnHoo4GM801d0t8XkA2df/AK1OeTc+7od2fp/kVrKLsTKWuhIoOyJSRjJ4z+FTY2kqyHg4+9iqyMC0ajDEDgf8CxVuaEtISoBHsazfmZyTexUUgIFKsSBtUE96mIOwRE5kJyxNQRb1dpJVKsxOB6c09zuXIP0NZz0kUwYx98iUHAXtikliMKbv4yKfF8qKoXex7nqPrSSuUAd8vjoFGc1aVwRXjHkr8/3zyT6VIdyjLEZJ4x3qnFdfbw7rGyLGxUg9D9KcjsZt75x/COwp+ze5pGUdmXhbqw+VTjHUj+tJs2NjjHce1S28g2licL/s8j8afKigcgHnnHT8+1VZoVk9iGPak0b+uVI9sUhEjcMxcjueaQqw6nvjJ/XNSREMM/xDjFTGOtkKSktyvJG7yDa33eoqeC+URtEw+YDj3qRtkS8sCx6gHk1XZOmxMFzgHuabs/dLhLl1ZE9uSTLIQp7CpEuESHy1iJIIyfpStGZG9cDn602NCsb7h0OfqBS91aCnOU9RVcghigLeg9aRzcP8wYZVeIwMAkmp5oRCRllLMAeDnGfWo0ZgSWGAPujuSafP0SJhZavctQodoXq2MEjuakZAVDbcD+tRw3EeRgnjnODjP1qyJUdMk8DjilLyLW92Umx8yg4OzAB7U87YlCqPlUYHoPemXKFjmPGQcgetMjukkhDdhyR7+lYqVnqaSgt0PJLdAAfc4zQ4WBWkchpW5yOg+lRySqoyDg1n317iLaTnNE5roVRwyk7kdzdMz8EEk/lWVdSblIyfw65qrLdMk7bW6jPXoaUyBlJyAM8nr7/UVzX1PQlBRM+bfG+8LkDI49/WhLwcEH9aWbLjIUDuME/of8ay3YxSntk5olqgi7PUuXN4VGWNYVxdmabYvJNWZi852JmprGyhgJll5bk59KlR7iq1UlaJZtkaKAA9e9TsiCB4j/rqjaTEgAHb5Qah8xsl8/PGePeldN3MILuLLGBHGGG1x1NRsAFyDz0b6VMsgeBom+8TvU+p71VCzEbkjZgDg4GRVKXQ0afUhkYxNuA4AHI9qbL8xLgYQnHBwR61ajit0Yi4dz/sqcAUj2yyP8j7E/2RzTSa2M5Q5lojOaVfr05zz1/+sKarSTfIgIXq7H0rTNnbRc7C7+rGmNb+eNocKo/hPGaLN7mfI1oMso0V1nY52ghQf0qaeVGPTc2cDJ4pkoigjwVcgAfdqk0yBiViAx3Y1b8gUbasuqYUdmI3sD1xwDU8lxlNoQE7j83pWXGzOf8AWAcj7oqyId2Cxdhknk+2aiWxa3FllYrsQ7V/2epqFIyLlVZctnoeauxwN5gIGFHY06DykmZgCX6ZPap6G6ncqztscK2evQVC8kTBsoTnuT2Bq5JbFiW5JOTk0gsgiZ/AD19TTi1YUotszyYgx/dHrjtT45YwcBBjqR/9Y1KbYlsKM1VmPk7+ckHAx9Kly6AqTS5i0lzFsBMYPy/y/wD11L9uiXGEIwelZ8chRFHfaRyKV7k4PyqfTj2/x/lTaTM7tGrGYboSsgIz1HvTTbjCxhgOO1QaU7SGcEDy1YDpxn/9VTXDCNR8qZPHuTms0nfQqMurHFo+JMlWYbeOv51ReRy6tvY8k/lVg3QKMDCvy8k+hqDzLZ/vJtOAenvTTaepvyRlHTcgDsElG5uFz19//r0yIsW3EnrwfX8e/wCNXkt4CXw/0/Cq9yBEhReFB4HtV86asjHkcHdliK4zbMhIDKcg/wCIodknjz0ZTgisQ3LKzZY5GBVi3uSX5OQRgj6VbhdGcp3dzSG5doKhhnNXrZogzboyoK4JXtVBHeNSGP3eP61bW5+VwGABYDJHUDk1gld7GnPoTvcKQhDsMqDh16de4pyFHIII3exzmqbskjHOw++MVGIrhXVohkB1Oc9Kzi03bY05kdTaTBkiLckcH6VobyEdEOT1X6VlQMgG5funkA/59Knt5SjkDqBke4/yKlpS0R0xvBptGpEGWHIOHPb3qNLtorlSE4fhiO1TJIsybwcc4Iz3pJABH2yOcjn86aehnKz1JW2JNuU5zWWl0JGLlvnVz+Iq95sbld0avkdE9az/ALMAWKW7rznrQ2luZ2ZqRstza44ypwR7GoBAdxAB6/xVHYLJDdKzqUjcbSG/Q/nWsxRD8w/SjTcnluMhgK4bjj1OP/rVfiijfl5Y0IGPuk5rKluDI3QFOnXkVftt7qsQ+YqMnPpTuy1CNnc1oIssCkivkY470ksBtXDrnaTyPQ1HbR20h2O4V+xU4q7HlkltpSSU6Mec+lN27mPoQrMAUYt3wR+NNDMspGRtweRyMUx1IQspXAfPTNLEfnX58MfRQO3rRGNtRzqc6saAAlicOy7GAznOelNIhOfKQgqmFZumcdahCSuueCyA53nHGeKY0CEkzTjOPur3rrppWumcbaUrSGQhhEFlkVpG+9t4/WpS4jQgLgYyFB6+9Nd7WPdz2IxnB/LvTS9scqkuwlQMSAgfnXQpN6GOgxZN2d+4IOWI/wA+9QGCK9wZEBVDlA3OKLiF/KIIYKSMsv3Tj3pA5RcDsO1axXVh7RrRF4yKseAMMD0HP/66hEiqcjjnt7iqvmDA55x6+9PDgnb7nP5//WolJGe7LSsruqDJYLyQO30plzKsAVFAeVjjGD8tRJcKgZjvLOeFUckdqiZpAGYlzJI3fGBxilF3drGvJFQvfUnEp8wIpGe5AxgVFkkY5O9sknPSlCvEhJdFyPWml3EoAnUYGMD/AD9KbVjElLHZjaVX7zE8AUiSwvGdj5XOCQKSVphEwaZnEi7dg5pAMtxEFAAyFGOfU0noJjTjz/NGOBhE9PeniZkG1Tk04IDx5ecnGcUxo1bIWRo1XqZOn0p8zfQcGk7sQu+3dsYgelU574xyCNgVY9mBBpsjOm5ixaQfdyeBTYfMvLWNrpiz7zjd2HOKpxfLdmyqR5rQNPTyN/mO2WPT2q3dzqIiM8+lZMEpUgDrgGklmMh+VskVjJvZG7aeshbjMi4TG5WByTx2B/Sp4dqLtHTrn1qqqZ4KlsdmBAJqUo6gfukZ/wC6pI/SrSexzTnG5aSdQSQfpRJIm0OzAr6HvVBpJN21lBbOAi8H8qCmZsPnCnkGm02aUqkY+8yKUtd6xbyxkqsI3Yz2/wAmtV5FUYzhT0x1NVYowm9/4n4FWMqEBzl+ij0pSs7WMZSbk2VL3zFjBUneeijt9asqoC/NgkcH8qkhhLgFh0G41HKu+XZ/AvXHrSvbVlRlrYzr68RmCIeR3qCHU/MkaEjDdQKne2VpnbgKpwKpR2my7Wc9gQvuTWqipK1x+1aldI07FnVsv949M1qrMNvHTHJ/nWKsm07snHb3oF4SVjHVjyPb/wDXWSaWiNZpyXMzTkl38A9QfwBOf6VTe+WP96c8f6sAffY+lMMyEZZhz1VeTTsSSsXLFAFIVOo9sjpVct3qYqaiXrRDGN0nEh6g9qluLpYWAPTGDVC1lESq5BIIyPc02cfa0PUFuKlxaZpFxav1HSXCyQl065OCO9OVpdrLsY4UKAKit7ZYYQm77vrV5ImMjpv/AIcgA81L0eplNt6Ij2XUiupKRg4GByenNNZEQFEJZweP8asLnyj09eWqv5jLvA6kgEgZOM1cWZW7EOzaOScH06moXDKF4ILNge1XAQFkbkFe561DLDmSEDJ2HJOe9aKTZenUZG4EhjQ8oACc962bRolgw/XJrEVEtgwZhln3MSf8962rGxmurfzFQsuSARRUgktSX760Whz73REUEj3Ay52srdcdjmrUIddwkTJzgHPGfrVRY0JAkRWVegbpWkj4Bz1649ahqPwl1antJuVrCRgRFznLufmf+lRSKzMypwoGXb0HpTy4BOBnAyQKjgfzLZQxOMgtzjcx5/lU8rvYzK7jIEeflHRAcUwQ/NuAKkcjDVcJycAKq49P8mpkQOm7aBnIII/Wr5pLQSSQxF9M9hkcHHXpTvML5Axl1BJHqeen1pzpsH1AwT6//qqvISHUrnJf5QevXinzaGkdXoPZgYh8yknkBRkmq+94rlsthpBxH9KlgkGXYH5Uwif41IqqG3nG49TUJNS0NPaqKs1citoUWSSQL88hDMSc4q2COpPzcYPtQoCjJ4OOTUMkqoxwfmK5AxnJ/pVPmeqVzJJyJn2RjJIHGfrULKXxnKr949ifanYEZVpEO4dMMGA/DrSh1cFvMU4HOMgj6gipeutgu4qyGLEvmMSmGdgTxzj+tO2EkPjcSMgUokGDt4yDj6mpVZG6gsBxxxinEhaMWM7SqE/MewPSleFc5VAD/eXgmkZGOUHzDHHrRDICDjdx60OOpunpdFWWWSFd6/MoPJA6fUVlmVTdS7TthyCBnkkVszjaGPcVj6ggY7lAVyOv+NY1L2ukb0bc2vUVpiRjNZV7KxYgHg0xrl4ziTKnsex/Gq0s3v071zcx3xhbVELjk7uBk/5NMUE/xHbzk/ypjt5hAb5j2UUbgp4UqfVTz+XenYzlNoJRs4HccVl3XzZHc9KvSNuGA3DenrTI4zu8x1zg/L7mlqZ8ySG29mbaD5v9awBY+g9KR8K3PQdT7VZ89SCJew4Knr7VXmUq655B5YDuKmV73JWu5B5gRlaUnYv8Q6kGmt8p/wBnPy543fU0MQxLdOcKp7VA0mMgngdDUo3UScqXGWZXkHKIvGKjNwXYFidw6A9qgDnjGSPUdqbPuCiXgq3cdqtJPRlWtrcnlHmDjAb+dRQXbRyAHJAOCD3qKORj17cg027+cCUDBPBqlvZhNWV0aEjBFJGSueKiiuQJgCAUPamQSmaA5HIAP6VVkJSQjHQ+tC3sK6av1NmQAqdqqRjoaxJwySEMnr9BWlBKWt0zk02WJnG/aGXPPtRGXRhUirJoj05FkYgoK2/JhUAlAMnnJ4qnZCGMHKlXHP1HrVHU9T+cJEwAHJNRNNvQ53eJqTlUi8tG5PLkfyqqTFEhduo6LWGNZmg+8u9PQ1ZLG6KOhO0jcfajlktx8yNaC6W5gywAAbBx3FNaRpJtg/GoIx5KxxKuepxV+3i2RbyMu/NDVnobwldaledPIUIvLk81ny2xfAxyTz+dbZhALSSnJ/ug5NRyrsPCBW6jdzWezubOd48pmPaFInPAzuA/HFQeVubICYJ4y1aEkTzNlzuA55HamlgMLGMg9CvX8qbd1ZGKp9WQKxt4/LRo4+/Qk5qhcy+VOxDNwMbif5Vclj2Mwdi2D/D0/H0oS2WdMqu8j9PrVR01YTSeyCAF4EYj5TyFPGfrVSW1lVifvZzz/KtWKEJEqsOnUmopryOFGXOTnGaTlfYcVYzyxghkkJ+YDaPqapSzu8aIxO4Y5xWg8RuOg49B25qs8Gb0J27GqjZGdTmkZ7qfnOTgDnHpmpbdirZJGTyffPynirE0aiKbjgVDFGWf7rngdDntmtIvQwktTTZmMWCeMjGO+OKGLxRhScSN+nrVpEEMIdsJwdq9P1qtLIu0yO2Wxzjk5NZpu7SO1QhGmpN69gfzBbtKjKIkIBZhkkmpNPuWafaSApVv/rfpVXEtxZMBknOdi9sU23IjYdCRnOeQKUoJR03MU25XOsspGkjXYVODjA5PFWAsoAPkH5V6qffioNPkAt4wyhX2j5h0J75q8LmMqMnkLkjGenP+cVzR5U7o7JVZySjImtp2hD7kcJt+oyOlXTd7kxsGcYyxyB9KyBmVyVA4GOD1Gc06KV42DgblPDAU9GyHFrU1POlDKflH1qI6i6YBI/i6DFIt6ixhQAAD1xzTZYFljLLjO3GR2pNNbkO63FTVI5ZEVuM4yfqKvysTCufXB+uK5ye0eJ1I6E/0ratroOpjbAzjr61LdgWjFt908+0sRzy3cf59620YCBkjA6dPf+hrn4rjymYk8L1P/wBerNveM8567T0z1/OrWpM2NgvZo7tQM8N8w9q7CJyT15I696wLW3Rros68g49O3/6q0hNjOO3FE2m9BK/KW5ijWu5cliQGI6inwQkthucHINMt+CzNgfNuB9RWgg3twAMZXINF29ibKKIJgHRo/wCI8e4quxcYyOSOen48URtNIzmWIqVJUk8Z9DUk2Ht8/wAUeeDxwa6KVk+VHPWpuUeYquTtwOmMYA3A9vrVQuQ7sGwoHGBwcDH8xVx84DNuB5524/Ws+YZBX16noa6o+7ozjHW0xOF3kE+h4A9x3qeRTPGz4VcDhwQKpQW0lzKsKofmPzEdF9/apbuUeYUicBRwAvU1paXN7uxvH2bg+a9+hEYpRkhkf2Bwf1pubn7q/uB03SCpoN3lZcZfOAT3FXPL2sQM4HrTuk7M53dMbaxbI1G9nfHLk/eqWaMrjZ17U1UReoZBxkocHn2NSDDqvzhjtHCg8c+h5q3fdA73uynLHuIGRjAHJpiQM8yqEJLNxxVtkHLdR049jTlCqryKfkwcv09sD3obutDO7vqQSFfMwgIVQFXnrT0UEqGGenD5z+FNBUH7rjt1zUo4XI+7kcZyOn5g1D0B9yQKCMnkKcnPUfSkkXdGxYebH2XHzZ9TT9w3EqSeAQD1xSSMoDH+9zvHUfWpTVyWZsijPDYHucg+2KfMBJIxjiCsoVQicjp/jU2N7oX5XOHB5BHqKkRZEVgibMklyepraMtPe6mkWlqjLKupILfM33iP5VYhbBAPCZ21aNtv/wB1evr71C0MiYJHOOc9qPd6D531J02lRg4/p6//AKj61G+DwQB0yCMY/wAKhEvqCM9c+/X+VSRgyAD8c+gqXcpWbsOiQOwmkGRB83PJz/hUSDzJC7FmJ5J7U/d85UYVCpB+tLECzKBwvH0/Ghu931M3dO3QmjUqwYr8p+7USo29pfvKvAPoasjJG0sVIONw5GKjkG07iNuOMD7rVPLZaBzEYedn8x5AnGN3bFPcxrtYEHPcd6rSMcKq8gnBU/0qS28uzgmVjvkd9wDnhfWiMHJ2uCcnsMeIupab5F6FR1xVaSVi+IUCDk7j7VfCi4QSA7kIzmoJIvnY4ARB0Faqy0ZopcupSVZpJYow+7zGAYv2BH6VMhERJQDk9R3/ABqJC6zEnv8AeJ5/CrSKr/KAQMYAz2olyt2Q1Ko1rsOjmDdVDc9cc/nU+85xhAfQnmoxFtwVO7Hbv+VOUbsdBgHI65NEdLkVI6XHCB2x80eBkY/WpWKAtvUAlccfzBojjDHsD7cU5rdjgepx9fw/Ks5tPcUJNFMkM7KHHzDjPBBqWJnMkb7hkjPUVF9iXcGK5GOw/Cnx2yR7M+ZgLyM47mkkmNuRajiOGXCgFdw9OuKr3HlqxXehc4+Uc/y6VOiRthS2zg5CHJP1qG4eOE7Y4wqHp6mqSUnZDV6fvMacBJF81AS2MDn9aaUaXIMxK+iDFNWcDlxuOeBV6H5kMsnCbQABxQ/c2Bty1kV1tYYDny1LYB5GTUUmtXls5iRmVR2U4qzE/mys5XIB59h6VKdPtpz5kuN7dc8Uo6r94rnRCqqT2uY2zgkBc7+QpxweOlCyEKR6cEds/TtUjKGgUGRFBH8Z/kareXPNKPJVpfMXeZAuAo6HI/ChqzOZrqKVN0xRyfLUcgHB/wC+hzVguQojU74BwiNg8/XrSLtjTy05Hc+tMQ4fyiSATlSeAKqF3uCavqOR3d3ZlCjccAHIHtV2DBGM81XnXyljj27GGeSeHP1pscjK2Dx0zmhuT1SKnCKejL8g5UHnJz9az2Rig5wAuePU9KsGdpOVGQOMjoKjMjyDZFGUXP3j1NDfKrsiEZN8sfmQJE8h2qViiXgYGWP41bjjiX5IwSw6mQ7qne2SKxyGG7+dZ8LyhiQMcZFVCXtI6Gk6Ti9S6YAACAecfMHIH5dKYEWM7mAO5/mfaAeemamRxsOPQYH+feo2dcFTjHI/pWd7bkpjGbeFyeCMH2P+cVBInzKe/wDLvT9w3YJ5J7evSmgBiD1BIApSfYiTew5T5vzNtbJ5JXOPrUglEQ5AjQHG4HIFIseeRwWBAB+vFO2KxEhiEiKR1HBIqlJ2M7EpkI+dSOvBHTNQB/mz93rn86fLOpOXJX0BGKruV55zjnOOgxxVJ36nRBco+WTzIyScEjIrGuLgOq465P4VYupgm6QvjisGO5DxtITxk9a56sz0KUE9USzSjLAdyCB9RWbcQIcZ3An0YgfkKlhlM1zLMfuDCxj1wOv86SUhye/YmsE3ubWWxQYyxk7Nsme2Ap/wNItwsyB06jqDxtPvSTna2CMsfTv1qJUZnOcqTjcRwTVOzRE1YswhpCwQkR9Wb39BUpi6H+f50+IiONUyNijsMH/A1IPLI3BmYeirkf8A1qycuxCi+pTZCuPTHbj9KhZSo43Z/wB41pokco7gdMVXlj2EgnAbPSlZmqijLlkDho5QrLjnjH6iqc8YJ4diP7p5x+PWtOeEPnjk4HTGP8msudCnzeh/Q0nfqaJpbFUO8TEPlk65Xqfare4PCQpyrjIqtIpIYdGTBz29wadASiYOOM8AcCi7eqM5ixHl4jxjleKfKpMZ9efzpHTEwcfdI4PUVbWLcXXHUEj61bZmpaWK1iuZHXJxj86S9TEowCepJ9KmjTyWk4xuHy+9TpGJRhsY7k9BS5uoXa0RVEh2LGMgdiKvRK8sIXPzDv60sVgHcmMq2O2aa13Htxb5VhwWPb8KhzRS5iZ4ti5ZsAd+9ZbWcEkpJQli38VaEEjTIRKxaQdGxkEUsiAZyFBz368dxQqjXUGk1sZcmmK4K7QpPGfSrOn2i2VviU8DkZq5Cc/MxZiuQQRg+oxVWef7UwR1244AP51erWpLh1ZaV4ihc/nVeW8kBAiPQHGearSZGI0zgdqIo+Scbj3PpTjAq5swSLcQgL80uMnA9eeKViquW7sSME5FVYZhaEFed33zVkn7OpdTvEnOw9VBpTiawkRSDyyIVO2Tsc8N7UyOJEcu4wehXoQal8sRoHc70b7uf4frRMSEDNyxGF9cfWstbpI3srOTMuQMzlj95jnng/nV20jCw7mx8xz83B/MU37OzMcAHn6Z+tXNnlRhBJGoUcgHIq29DJK7MzUpWt0jCj754+b+tZ+xpSqqDliBWhfR+bKsYYMF9FwBTbWMZyvT7oPenGyVyJJt2RMkCwQ84Z27Dmqs0IVR8uXbr6VreUpuCDxGg7j8KpyruYcbc8KD1qW7lJJKxltau6sm1fm6jJqxb6fMzjbEpJ77unHpU+SG8uNcY6tVaV3VwcsSOm04pqbexm4JMW7dppBHvHlgY2kYxjimlMZIHJycew/n3qW4tmdFmjZm7kHrUFsWMgU/Nn+E9etXGSa0JasPiIRwduR0IHv/AJ6VYGlid0mhf92eGXoRViaC2iGySQq5AO0D5v8APSrGkeXI8kUbgjG5QRj61nLyLWm4+4JijVgPkJ28elIhbj26GtAwDDFgCcY/rms63mUyOgHzx8YIrBNmisXI7gECM8f0+lT2zMLrypAdjfdcdjVRLZ5pFlhHCtlsdq24UjZ8jgenpTbUPVmsW5LV6IqXVsVKvnHOCwqpbai1u3zHjoeelal3PHG4hfKlhxWDdW7El0H5d6abtqKSvsa5vYruMLuAcfrUUu4MSpwSOD9Kw/LbGQ2COeeDT49UliYJINy1EoN6ox0NkSs7sOharFv8oBOODkjPWqlrLHdxeZGRkdcHODVuI/LkjOflP41MZW0NpUtLm9Bc/OmBnccnnkVbgmSDcZW3K2Rj3rHhLIEABYrwR6D1q2i4aSMMDGCG3nuaEZOJfhmlm2qxyFzwOladqwjOGEinjnd+FZVuzOR5Q57noK1LYMIzvzgqRxzV3bFyxS8zQkVZYmGSCf4qoElI3D4ZcEHA4Iq2jovGGBJONylfy/Gq15g7BjBByOMGt6aWxkqjhqiv5oVFzLGBu53emMYFVSVGHNuwUjO6Rsj8P0qcRgtl/n9+4qVthA3cg4yB3rqm7JI89yvK9jOmupgqoMRoRkIoA46UQQBY3uHbfvACKBjHvSSLkkv1P8uafkxseeCBwfWuiGistibp6vckwUC+vX8anSQZCkj8ajjtpJSNpAY+p6VVgEzE+cpQbjx6gUNai31ZfLeaygj5B8x9z2prLub5lDNnP0/GkjkYttU4U9cdh6UOQmV3hS3rycVSVgcJPVISR2BJizn++3J/Amo0eVW5Y89QeRipEBJyXQIOOAT+fpVxIk/iwPc9qmbd9Bwp6+8itE8BjYzYiKrk46E+gFMQ+Y8ewMM8jPGRVe5BdmaIcGYE8ZLEf0qzGGiXeT0IUH6dauXLKPmKpHlbiiVV+6R6HH55H6ZpsmBDId43L9z/AGsjj+VNmuG6RRsSp4wOnFMihZlDOx3dx6VnCFnqYxWossiW0e1ceZJ1P90f5zVYysx3ZJJHUk8c4/p+tMukczmQ/cGFA9KISOmQSFweepJz/hWjjde6XKLi7FyGRnJ3EgDliT0/H8O9WFlYggE8gsQw3DA9aiuwtvbJF0YjfI38hUNsWlv8D5VjUhyerA8VKp6Xeg4q6bZIDFKpZokK+oBGfypr3caxSQwRhcAN1ycg+p+tLMqg7UPyqMKPWqiRbMgZy2M0o6PyM+ZvoTMu5nK8qULD/P0qeNcM2Ryeh/wP40wKUIzy3APoB6U8sDGOTwAPxB4pLyNNyUP8uBgE+vQ/jUDsxKoh/eOcCMjt601nJYxDhurt/dqVJRHu8rKj7o568UMlRZGqrCWbIL/dHGQKjWLzvvDOf4WOc/j/AI06QFjkduOPzqSGMgYI4HP4U/NBeSLEI/0dF2gKowFUdKjdQRnHyg59s0/uBgHn6Gq8jlpSSx2DA6ZYnvRzprUlshWNcAEjceScjNTxxBjyNv1pqOd4TcV3cAMowaeMDbj5WPUHp/8AWoXdGsZ6WHyKU+VvQ4HX6f5FM24Yv/D3Gc5ob5jtJwegz0BFDzCNFEi4IGVU8ZobvsaQcW7S2GTXX2ZkRcs0gJVQuc49a096+XuwMsgOM428VmxIYw7vy8nX2FSCY4C5PP4fz60JxfQwqKzsiSRsnAjHTg7vbNZ8zybsgr7ADJqaVizBQCWPRQMH8jQ8ZkbA6AjjHP400rSuaRlaNupHaM4kWMK249Wbmr9wE2biMsBge1RwxeUGbkHpnqKdGhcMWJIB4AHB/Khv3rxBvmXvEEFqGbcTx+lPu5l2eUhxjt61OZEjXlQeOBnBFYdxMzXR6464606a5p3l0Kekbo0bV9iNgZPqD/nNSSXDo2NoPfoarWmWJx1I4z/jUk8gEvKKeM810XVzFp7lccQRR9TnP4VIuVkUtnKjCkdQDUdq2ZWwgAycYFX5EWRcqfnA/MVy1NG7DctLFV0JUNtHzd6jYCJGyBk96uQAfNwPu5XPbJ5/WmSpufgnH8qIO+5N3a5UikkwF4KHqGGR+VSDZt+WJR8oPHI/75NI6fMcDjgAn8fwoxzwOORnPFaSbexUbW1AsXHzyBgOiKMAVJbsVBZumelNwGZARnr+IHFJcqwQBcjNJ042uXGq/hJ1fz/lz8oqTEQlVFx71mvJJbW5K5LAdBUGmS3DzPNNwc8Cj4V7q0OqDVS/OzXuVEB5+6e4qhJJnOMnjnPapp7gzkqOQOtRpDu+n160S95X6nJK0ZWRGgaRuTxx17EVajRExluB7VIkIweOnWl2EK42jyzjDn19Ky5UC1BX3dYsAYC7j1/AVcibcozgAdFHSs93JlXH3at+bwDwMClK2zN40lGz6k0qAp7Yrn70rCTs+TB5A6VrTXYAxmue1KYPnPTv9Kwb6nRThd2mZ16J5AQWVV7/ADVn7RgIWxGvbPU1buZzghjyOtZM7srYVS+egBxk1mpc250OHJHQtNJHCuDIq+1VXu4weG3LjAA7GmeUCpYAYHXjvThGm3JwPf3p3u7GLnYhjdWOSCWJPOOlSrG+fl5P0qZNgYlVBAxtz1xmrKSwgspxt6ZIpuAlWEjgLIuR1qQRCCQHOQeOexqEXgjLI+Mqcf4GnG5VgckcnP6UJIHNsczATF4uCQSR2plz8yFmPsffvVSOcKx7r29/880SXIYEH0Jz68cVTsjoWxA7j5+vA3Y+tVZ49zhT3OCfQGnNuaU7R8zLtAHoaewXKj7wT9T71m1zamU5W0RQli/dtx94ke57UkcJJU4xluo9cf41eWMeUoKncHydvTBp4tjnb3Un+X/1qEklYhlJ8ExnOTj8vxFSGVzKQowOzd6vrpxOJH+Ukdzznv8ArTktFUggZHepkncFqUoYh98kuy9N38qnPl3q7QBGV5KDvU8kJyHiBCn/AMeFNNoyzNs7AMD70tzWKtsVfnT5GGMdD3prJ5rFh+I71ckQOevccge2agRDuwM8dKOVP1NGrDI12SA9fXnjFW33GJWG3JUHB4pyQA5OOMZHuenX/GiRQq/cU/KOq9cU4rSzM3uQW74aUHaAAMgZOfzrPMGybAAOD+IFawxCHBXZlcEHkVWnibYpUcnk54LCpU9fI3dO8U+pUK+Y/lIccffNBkj2lY/lK/eJ7/SpJY2jbywD5h5I9qjnhDKqRt8qjLe59K0U0jNxHRK9uFknH7s8jJ7VfUKy/akPzgcKf4qyZd1wu2YEoAMAetPW78tdrHO4YJz+lHNdahaz0NSI+Y3mOMbudvamxHz53lf5UQYWqcGpRt98t0IGBmrEd9bIpjUPgccispXK5ieJI2JKgs3qR0pHgByxG7kgfnUkV5bkZDEgZOD9KpTagQkQQdVP+f51Mm3pE1pOO8th9zbylMx87QWYev0plpAUulUghIl3EnvUBvZ/4BgngVoWt6swETIHdWIbHUjFWuaK94ynyuV4k7IArvjjB2gfxVSt8lXc/e+7kj7tXUlRP3ch2lugP8I+tRXFtI7xNBjyx97/ABNZyvuSnpZlEweXEzDOG4yab5SrB5ZTdKeQx6j2q5LcxrcDK4RMDHrUvkBXExYHPIA7GiM09xSujIhWSzJ3DLN1VulW7OCN5vtDKEjTnBHBPtVxrISt5spyWqpLIzXAhRGEScccCrbHHcozI9zctK3OSTz6Va09DDcxspxgkdeuTzU00O2OPH8Q3E/j0qazjgjPn3KsyqMKAec0pPTQai3KzNRrhIotzfM+cKo5zVWWJftIdV+Zzlsd6bbSrHhmXdh9oOOx6VckXY7TqDjHSs5Lld2NPoPQLZkCMhhJ94Vaj2dGYKWBxmqFqwnXe2VKnNPmxeyRSKcbDyBULuzZSvohHRp8LNgyL0JprbYlIIyR1HcVc2ZIZsZHC89ajCBH86QETH5dnqPemlKTv0LdSEYuNrszLm3Mjb14xwTjrVEWBHzHLexFbMxMjc/MensKgKFyuCTnrntRKUlotDGMbu7IdMhKXfyn7yEHHtyPpW7axhw2cYPI/nWVDFiTzGJ8sdj1Y1oWwMgJ+ZI89Aazs5as6JWppcruX/MVJuD8uCDjqamjDOFDgheyf41DFH8w2gqMZJzz6VciKIDgHJzyT/WrjZHLK7ZetVO5cjjPfitCJQoypReT0fHfNZcDsrDGCQM88jPSrkbtISAgPOeatXZDhY1FWQAhZlPqGUkHvSSxSOmGXB7cgg/Q1BESM5+U+mSKsGXCbTyD2Nao553MO+uXt4mESObgH5UI61by3nAyJsLxq5T+62ORTyyu+1gCAehHSmTZyACdw5B612K7jy9Djbvr1GSpkgEZXIyR/n6VGsavKN3JJ4yO1WMb02nIAyDg+9NMQ5wTn6VtFpCauRMG37ATz19hR1DbeFXA6UsakCQqBtZsZycnjnHtRt5RABz2rRNIVm2kSgRqquuSe1SW9kbiXzHBJPrUIKxOCATirVpqK5ymdo4JII5pN3OhQsnZkk2mmNS6EhhUK7nQAjGeCF7nmtCS6EqYB60WxRxwOQSc1LsTJSsZxtvl3DsM/Xjj+Rp8q4TgnOBgnrz/ADq7NsiXIxgAdfQH/wDXWbFKZHjXqgBJb2B4/HmocrbEcje5E0JHTACkfp1psZdH2hgfUMOP/rVoLEpZc9c7iKWOyCozk5YnNK8vkNRSKM8oKhAuXPGKgjidTtQKp7/LWzFbR53FNrepqC58uIjsScU/ejc1jaTUbGFdzypcOJ3BkPPTj8qntJZZC5WMM7/fKHnj/wDXUN5bmS/eXPygBQKWMGNCBlRkE4PXjA/nXSrOPmc1SPvFppEU4c7evap7dombdxkdAfUiqgcj0JLELuHbGOv4frU4GxlUoNxCtk/w+uMdawcGuo1FS02JZSq87lP1PWq0VzHGZWLAtwI1759atKjDooxnHTrUjWzuvKD8QKItJ3aBUGtbmfHG5GArd2LEYzT1GD6egpDbzC5jIncRhvmU8gD2qGW55+6GOeM9OD3rW8ZaG1SjyJST0L0IDsMnpjOferW0BR0zjH9f8KyNOmleEOw5LFRznIHf6YNXvObgdv8AIrJx5XYxlaUbiysATz78/Wq7ksT8u7Cke/Xr71YCbxjjHC/4/wAqa8WXx6fMfbmoe5z8rbuRqBkqGLAegz+lOKgjpkY6jnFCtyA+M5PzEc9akeM/KZAdhPX1Psau9lfoaQg5Oy3Gqu5SxyY1G4sOcjpihAXLyORuf5QByAM5xUTyGV9zHPYe1TZyu8Y3d+xzTjZ6A4tDh8w6AZ9fcZ61A6sBxnBzwR2qdSOuR0H8+/pU5g3YUcUmuVgkpLUoRxlyEBCZAOG6H6GrQQJ8uD04z1H+NPZfKbIGVwGx/OmEM6/IRj+EN/Q1TdzSEEPPB4IOc8jg0qkLkF1Geflyp/WqoumXiQYUZHPaplAliyrkrkqwznBpJ2HOnZ6kNxIZBtDEjtvHIrNaEvM2376+vetFkbeoY5UYFSCBYwSB83VWqou2qKU425WivbL8uVBDI3Ge49KstbLKxZhj0z6UoYFSw6jqRUwliwNxIP8Au5qoO/Umqk0ZyRsIEMZA3HHNLAsqSb55VZySF2dMH607avmGLj5OOaQxGYZJ6dj2+hrOS1MW2rpCvcC1m3ODsPXHoamYs7swXCju3BP4VHFH8zAl2wNuGPT8KkU7cRSHB6oT3qntZlaWshjR855J646fpTTCVXnlugAHGanjljjYRyDawHys/AJ9qJZAufL+aT1Paou7jUbK7K6piZgDxGoUn3xzRkO+Xyfw6VNFH5cfl856sfU96DCrBgOpHJqlfoZ37lW5WORwsZyoHX1pk8fk23ygbicCrXlKpLgYwMLx1prp5ihscgcCqUrblJvZGfaBhnd3q+q8bhye4oEagBvcjn2pyea5LR7ViI275Gxn6DrUN6sfTUeBkgL6EsfYf/Xp+4yct0HTaKiGQNmwiIHO5mAU+2akDgdaHtoK7ehWmQQjaCWBPy8YOPeq0s7ICc98AVen23EJQH5uqnpg1jvIzx579xUVPe16m9FtOzI5rnemDgFeSSentWa7mXqcDJHPpSu5WTGcKSe3GcVGTjJxxjOfeuWSZ6DehXeIPJkrwDgZqs8QjIZuoJq3NL+6yp4NZlxI5Yg8HOSPoKhkcxE8gDcd87iPT/8AXUcdztZ1yDE4+UnqCP8A9dNIJwSoHXquc1DKNqAkltnJJ9PahJmcpdhJLnGAGGAeM0xrx2HLE4yMH8/61FMGV2UE8Dj2FVNkkrnYwRQcFyCT9AK0VzLfZFtrppJI1GSzfyUdatxiQn5mOOmKq2lpJ5pdXVyF24PynHXp/hV8RyL/AMsyfoKJOPcuHPfawjsQMnoKr7zLJsyT3wKtG2uZmA2bF7lzipVtfIXbgrnkluM/jUt6HSr2sV4k5LHGcZHv7VL5RMSqF+RuQB1z71OlvnBI2qDkFhj8jVhF8pmQHa79c9PwouZ8mpAtr8gkY5x1X0p4aJCXVdx9W5z+FP2I+5iwG0YZc9arOhIIQgjsM81N23Y0jFJXY/eNyTAHDEg856Y/oauGLGcdO+Kp3YW0sIYW/wBczFm9s8URaiPN2nqO1TJWVxVIu5Z3wwxh34IPyimxTJtf+9nr9aqTRtcSbh0BycVIFSDcZD3wo9aL3QU1rYlS3y2dqn5u59qrtCyEuVI4BJHPeh9VcsAEBG4HAFMW7eUYCHcVH48/4VW25q56WLScpnnuOuc81DeSLCBFkbjy/f6CmSfaRkbkRm5HGSPX6dBVSRGLOzTOxJJ3NjIzUyknsZpW1HC434dom5OcnninC+hDc5Zx6jjNVm8x8BnOAMZpVjZ+EBPvjipsrGqquLv1LBntyGaST5z3x+lNjhRwREwx6txmo0QZCqm5u+B3qW4VoVCOArNzjrgVNtdNxe0bQSWsced1wrAddoqJhAQjJjDdd68ip4/KMPlSKTu74+7U8lh5cazkBozwB6+9TeSfvCfK9OpntEB94DPPC9PY5p/lnbtU4YAj5h1PbBFW9jscknngjHOP608RbFyB0PI7VWslqTaz0MoeYCGKYHoRTGkUbf3YwqHOOP8APetQh0JYZGDUMkDzu7MFByefxql7u4XZRklIHyoAQQePpipNFjkVJCyhgeOexH+etSRWDzeUcrsbCllYEnHoK0FVYodqZXaOF64/OtJTSjYIK8iG5TZKp8vy1cAcksOPenQylSdsg79elMnG9IWAJJYjKnFQpC5ORFLgZPXNRB6amk1rZFtljm+aSPKjoVHeiHhyWb5e2O1Ns0lhmx8wGSpDLj6frU8iJLh1LI5/ixkfmOaJU037pKi7akdvdtcXMqOgEafxk9afgE4UgZ9BUSwyQoMAsOuRz1NT2xLMBxycDB4rKV7aClFoeY0jjRp2Z8g7Vox54BKhFX7qDkHilmBluS23gAKvtz/jUsOUYE8ZPpjvnr09aqEdNXqaQk46lVoXU8DI4wP8KtCdXRgzYbuKumISIXUqQWOWOM/l9P5Vn3DqFzGE4Y7A4O5vcZ7VdlPRjUFU20LEZVEWJCC78kCrcaJCNzZ47Y61zovnhYtAiRy45yN278e1b8TrdiOdAcOgYA/w8c/rmolR9nre5nrewAvLukmQMIz+54wM1BOWYeYpO4/eNWWzIQB24HbFNdPMkCAj0H1/Cp5i1YqSDdg8/MAfx7/XvRsEahSBuYZbHYdhntVpYNgYuV2qcgM3U/X/ABqttdnLtyx/iJAP5ipvc1dktBShOCMlAOg6irsTDhe2OcfyqsjMCMBD074IzzVmNpOD5TE+v3hx9KjyuRd7mikiBzwcFRwOvqBU8cbuS7Ku4k4A7DNVYZJScrEBn3x7CraS3KjKxxMB12yc/r1q4rzDV6JEyxEHBx15wKtQhlOFTKjqetQRXUb/ALuaNopPRhg1OVIA2jI7YNN8yYJp6Nal1GG3j5lA6HqtPGQjdwuT/kVBE2ck53AYOeoq9Em9gDwGGDkVtGyOSrd6GfJF5crYJweR9DQo3gq3UZKnPXjpU+5T2J/h+6T04pGQLjcNvc5OT+Qrui0tzjsluCqGgVh97GcUwssgVOASC0rdgOwz2pC4yyxwFiQGVZmzjP0oEjwROysUIGcJxuI7e9W2k9xuKautxJTHt4YAYwMf0phnZQQkIZvVztI/LNSnc3LkbugAAH400p1JHBP6UruOzMXJPZEaGHzHAaTO4gBh0H9etLO3lx7yQqj1OKU4ijdmyVCA4xnn6VVWyWSQTTpvfOVDchfwq4SnLfRDTtuMj1LzGMUbc9D7Vq20xhiwTzWfJbKs5kUYOMNjuacod+M7R3J6UOCeqOlVLaSJ55ZLuTyIyctwSPTvVpLXaf8AWvGAMfIoz+ZqCAxwghe/3mPU/WrSuCCeuOvt71OiMZNt+Q1DDAdu08/xM3P4jpVqG4Vn2ZGKz55srKoQkfd3e/tUarJAq5YlyAcdTg02mlcqLg3ZGvJKkZAByvpWMXeecOedmV5/iKnH9TTpmm3qvAPU89Klt4vLwGGD1571F7lS934Sm8AUEsScnPPWo1XHJOW9u1X7naSAO/fORUQjVWC5ZSeh3cH8a0Tk3YhKNrsiSPjcHQcHLelTxqiJhDgHq57/AIVHIcHa43NkYBHPXsafuILMTlyc8cEfhVtIG0WYWiDBmCjupBP9autMhGEIIPWsKefcCrM3sevP8xTLe8eFSrnPvWUn3NYxi1e+pcvGEQ3dPQ1hzur3T+WPvKu36nrS6hemRGVT14/Go4wBMCBwgCjPsKbcug5NWszUjVEjEY6Abf8AGgyDO7jnn8OtU/MwBuJK8Zx35z/OgmQpkxtyOeMd/erUHaxxTqJs0YLkbhnoOaRJ/M3Y5JOST06Vll5wCEhcZGNxxx+HWr8MkagKpGB0BOCaXs+7KjNW2HyTqgOQHI9DWQmo3tzfRx7vLtEbcUHT/wDXW1IgMZ9Wziqa2wh5wOe9VTjCOg4qVuZIkafBbaABuNWbU5gkYjgjHPP6VDHFH5Ll/vdBnmoJZfJhhgDbnbBbBzjFTJKL0N3RfLzvYtrMRj5iDjAyPbpVmG4Dxgjj8Me1YizbmJzlV4+pp8FwECR7h5khbavtTabV7HI7J6GuJ1ZlLYPLY+lVp7kFFMZAINQvvAwME8D6VHsTygZclmbjsPypKN+oe0sNuZfMWZ0zv27utS6TcSEznH7ptuCe7AYOP89qPJiTLCM72PJzyMdhUrNsUEuTx0X/AApuyVma006juWnckAADhvaohKWAB28he9QqokXc0MJ+8ehzmqjyIhO1QMA9Pb/6xNTa+wl7r1L0bYZXzgH734//AKv1qeSZIiFbGcc8VnfagiAD+JSOe+Of5Uw3CyndkfnUqL1vsdEpQsrbmkSGnkbGDk0YYE/Lwf0pi7nlkK5BznA7Vfs5oSzRzLnIwDW04636HDHUqlCSrbhkDqDzSspc7MeYOp7Y96haJ/tbMCcZ4Ge1TfaUVvKYY3cA1NtRjXjwhUt5i994yD+FVhjYX8po4k7IflP4H+lWhukYqR8q9f8AaFMnYTjbGP3a8AUvI1WnqR2Ti8hM6xmNNxAJz2OKmadE4JdhznmlUNHGsajhRjHaqtzMJCixLgntSsov3WXGi6i1LLTxSLuDrt5HPGMYqFrtQQsaNK2eABx+JpoMSzHYMqihAexIPJ/L+VBZ3IXJGew4/lVJ83Q53BRZGQ2VadgxGMRZ+QevI5pRcKW+dsEevH5UKmG/2e/fNOCMy4++FxgN2+lO9tSXq7E4ZWUds9qYR5aGNV2hTz7ikUlCWPPHHtSM5YKB06nI96b0HG6IWkK9OcYrCa7MdzKh7/Mo+vFbEzYU9B0zmubuWA1GN+VVht69+tc8+52ULX1JJwQnP38hsemKrzPhgAckjj64p005RieueOKoeYZHLE4wM/4VlKXQ7bXQ6WUspUcA5yR6VXPO/HPH3jU3lZ4PzADH1P8AnFG1VQ7mHIxWel7mUr7IreUw5AOexP1pHh2nPByPu/41b3pL8sRLH17CpoLIDIbrk5zSuwjTT3Mkaa9wf3jHb0wnHH1q5HpsaoqqMKOK2II0YkBeB1pJlSPPUe9Zy11bNlBrRIzTZCMgADP8qRAVIBBORnPTJ9Kts6n+71xn3xmqszgS4J4OevWtoWsKMddR5AKcdSOM9zT4JQRhSRkZH8qorK5iaMhm+bgim+dslVRknHOeoo8xyhpYtG5EkbZjAYE5ZPb2qmsql1G8lc9+CKq/aGEc/QHecZPrUYlJlj3ANlsncegFRJ6ME7OyLSyLuky/GcVJYhXulY4Kp8xzyOKz4p2dyfLjXJzmrVvOEt3IX5pWJJ6cA8D0pbMqbdhL92mmLkjg9T2qjbt5t0zJn3Jq0GWQSZGSO3+IFZ1vcst7yAM8ACnF30ZEndaG/wDahFbkAA0xkaT5mzuKjaPQVGqK5UAZx8xq3EMg3GflPAzWbViU9CJbPywGl4PB5pfucIOR0J4xz/hUpuTdFxLwinAAqQILhhs6L0I71Lfcu5S2ux5JznIPpUyWqu3zkIR69DVwWogw0rADHWoLmQyYZSGQDjHeldvSIW5SNreCdhHGduOCD/Oorm3a0QJA2Ub7x/rTwixRkgFi3X1FSpH51s4mlAwPlpuVnrsJRciktzDasrIhdj95h3rRe2jvQHj4dhyxHNYm8xKUSPBz95jV7S72QyfZ3l2qeciqlTvdrcm7Q28hNs/lrk992OtWdMkkeJ1lG6Ljr2q8zxSIUBZwD/DWfqbTxRRmJSsPQ8d6z+KyZd2laxoeRCi4Lqc8fQ9KjMAkJIPPP+c1jxSTyEgAnJH+f0rRgWbln4yM4Pr1qpppaF0rN2ZaMcez5sVALWKW4K+ZjeuBj1xUM0MhZiHIz6H2qIxvGyOZT8pz70+XRF8sW2vUvLbRR7fLXGDkHvVS6BikGM7WQcehz/hip4ZEdmVd5I6/NUWqFEt4yrHcr5K44APFRJ+9ZmMH1RBLGsdsu+YAqVYKBk88f1FVS8WT++Yjnr7GqfmtMRklsnA//VSS28kR5U4YY5+lbXSKTcjRFwF53EkE+x4HOPxpYJC84QAk5yNvBOBnp/hWWuM8nAJ/z/IVqWNu6gu4AkU5Rehx7VjLTbc3TutS/JcJFGZHOQFU/MOQfrU0AgnxIp2nGeeT/wDXrLvblUV40YCQ43RyDIIp9tJHDbBVG0HqAciqnFxjeO5WGdOU/wB5sbEVtDjjap4Hy8VI1oqkbT3JIHGe9Y8l00UTMrZHcZq/bXXkWQndny4yqk4xSkpcvPciUUqnLF6AzPbzRgkmTcMRscAY9PXg1AXnuZywkSa2WLbI0mAUIJOAOtVDNvlPIDP+B/z7ilKxrACWKyyDd9B9ehrpoRhtU3Iq3WsCL7GzW/n5BGcYJ5/z1rTs7pI43RTwQFB9BnPPp3rES6MTFWOV5HXg1v29na3NlHcLIUZ13qV6ge9TKEndSYpypuK5VZ9SX7XGgC7sA0vmuD8hIOOorOuLOQnarRuDwTnb+fpU2i+c9sY5mDmN2UP1yufl57965XTsrp3M4pmi22ZXGMOyg9OpxzVWOA4JCjkdQuPSrzAJtYHBU5H+fpmmIUYP0yp/Q1F7PUvmIHjdSTkgZzyPyqWIsgyRyRgDuamchF3NnOfkAA4z3I/Cq/2hIwhzkycBieT/AIUcvNqXBuxcRWZ1DNnH3u+K0IEOBk8Dgc9azYJMHJ5zWxa7WTk/hTSjcuXPYkSJio3/ADqxyAakAe2OeWhPB9qsRjgKeh9fSpECbWBywB2sPUYrRNp2fUwk7q4iYyr5JDAcVagZhHKckAcr6NWdbIQuwghAx2E9cZrRDBEUjG0jB78VVNPYzrTT1IgSscfOCwPGTxTGyIjJ1JOCKIhuLLzgHIz2BpX+VSQcnPT2rtV0zznJt3FaUhIzgLJHnn1HpTpVG4Y+6eahDK2UYcHrUiHFoo6tGQnsQe9aWFLcciHkBeW461KCqAiQEKF64wCPTPSmId3v3z6U8JHc8E4jXoOmaPUlIqPG8gEjcc5Ueg7CpowC27qADyKdIy5xkFR3qFpQoIyDjA9K0gyPMc6KAVcAjqw6jNRy28EUbSHeGAO1d2Tmmm8jXCsRgvzn6f5FLH5cpDlsj881agmUpMrHfkDvuGCO3rT4927d3AP5HtVnylVt+MqOT/WlEYHHoAP8/jT5Yx2CXM9xB8qEHqMn6+n6VNHPEj7pDxvAyfT/AOtUJZMqG6Y/lwR+tQsgcL8wzszz+Q/lmoumrMTTiSjhypPQ5/8AripfMAjaMjDDLLxio/LVFRmIJK9jkEUxp1JUHHFZF83YVIt43AkE/lSsh2YJyV//AFVKrxnCDggdaqXUm11O7BJxVLTYfM29RrZyUOGHDAH0xj+dI0pCAsGAx1I3D8xyKijuN8i5/uHP4npT5LhVdQvLk4GDinz32G9Nys84c5Vg3I79qaQZEHIUY/P6VcjSJ55GuI0eTYAHUY2kfzoMG8kjoB1xiq1sQpK5n/ZsvlzkDsPWniLaeAqe/Of14qxtKuQefTH86FjyexCn/vo0KbaBq25CFwchzu7mQDPtjbUzxHoeW9zzSOA7FugXk+1SQM0qtLINu4jb6EY65qW29Huhuy1KphYknHbA/nmpQkhbBYsp4GefpVpVG7B4xjHtVyGFQ2GAyDU3voOKs7kVuocDPAABxVyS2Ty+n41I1srKdpwR09qzbm98mIhzhgcGq+Fmy97Yp30ohlESj73IqRY4o7OR2QMQuSSMkntVdgbi4ErAdMD6VYYfJjAbPY0562sT7R2aZQht8hFJZiByCeCatwwbJQyj5tuMDooqWOPYu9srwcY6k1KqfusqAefujr9SP8Kpts5+UjkUFSRgJ6jv7CqgyLpSwx3I7/SrhIdj1Zu+Ov5dxREiK2/ge+Mj8qnltqi9LWZItsWUMQQV5HrUEsyRuMqCc5II/pVl7pTGVUBsf7Wcfh1FZVwS3zdeuP50OSvqOEZcug6ebEnmIxxnuaglO4eav/AscGpTEcAkcN96lSPylw44P8q006E2b3KoRm3Ko3D7wx+VPi07apBnBOeeCMe1XFjwpU7fKH3Pb8aaGhIBm++anm5nYFeGty9EeJGBw+4YPqO9LG6RK7NwVOM1AJiirgZJOfwpqJ545Pyljk+taNvoRS5U9SxbXyX0chQANG5Vhn8jSrb75CzdKit1WCQoq7RI27H0FWUmVdwYBnzgDPT1qJO+xpKLir2Irh2C7Dwy859qi80wN90byMgUs7pH+8c4Rf73GT7HoaaF3lJGBIJ4UnBakrbGfM9y9a3AjtTv5c9T61VkZGiDR8yMSBUVwnUqzL7Hn9abBAYVYszgsxxkg4FStdjXnsvUY0Mi/Krjgckevep4cpCIclnLFnY9h6D07UjKSCAdq+pFN8tACFd+pyTjJOM9KpSknojPTd7lhU3Y4yDVgRLgjbyRwaqRNkgR3MLMBja4xVxWbgMhVsFjzkYHvUtS3YopXsVp1G0qwJ4Ofc1DHkbw5yODx6GrrsJFDgcHkA1n3WUUunVePqKbdkawXO+VkdxEGyO2Tx9K5rWV/jjHTBxXVFxJHnJzjqaxNUiEkZAHaueTszrpQu7M5wXKzJuyfcelKDhS7AAdlPYVQn/0WXLD5c8n0qwZPPIiVsjGXPoPSoqRtqi1KV7MmaWZ2CxvjIBI6gA0qr5ny4yQOT60q4O4kD5zj/D6VMVCoMde/wD9aseU0jLmQkLLCqFhgHj8ama56gc5wAfWqzNvwJRkMMnHbFVGeVFAjVpMDjAw3/16p6LVjt95spfLEoAHy+vXNRT3izD3PesH+03E3lMjq5/hZSDRJOCQE+83FSzWErFwXJSTk/KP6HFMM2GQHGQ20+npUEuEiHr396zmn33UUCk5OXb6AYoV0O6lqa8J/cFhjl2I+nX/ABprEeaCSeBzg/jx+lQmb7qL0HGKYZdyuScDAUVSkZ1E0iNsiN+gQDP1qLacEAHITaMDIyeKmlUnCE46cD09ahVWDO3PGMAe1KRjG46ELumKlSF+UYbpT0dtvG0cmkMuLXbJGGV2ySBzUSmNQzbGZAe1RruU2yzaNKRIoYdMnDA1lXAaK+bcxJyOSc1bgaOOfDKMYA+YZ/lTtShDYkG3g84HGD/9enF2kOL3LFpN5kYXdtA5ZqtmUu+0cL1YdgKx4nwuM4z1+gqybgBAgPHXdn8quVmSzRlZZj5cBxxmo7q/NoI0i4YfeqO2byR5jHa7ckVUCG4uWc8jNRZbFJ8quXTdSXKfO54BPNNhuGt8uPmA4G4/0pyQMzDA49MdahulVHyBtkAwMc1Stsh67s1LeWO5Us52E9R3anqgjl+YjZ6LzXOx3DpcIxZuDzz/ADrplbK7gCMgH5BmoqJWHB66GZfW8dvMziLiT5gWFFjEpl8yWMlVHAGDT72QyzFRI+MY+Y8Z+hpgO0kjbkknhSD/AJx6U4aJNhO19Ni5bT+ZcFUi+XnDBzwauSMiptdvnboBz/OqOlpgPM3JPygk/wCc/jT7uTdcerAAAYxScby0Dm0uy2LWFtoWNRklmPUmhrBcfKxXg/x/l/Wo5Zlt7VI92Xbk49arNcsxwvABxx7f5NDfQF3JpdPjwd0oxuUfM3t/hUJtYkCsH2qeNzcZ+gp8UUk77VQsxq8LGMpGHcuy8FfT2rOU+hadtTMkmMHzRbgGUDcF54qu4nmjkikDNvHAHU1rXFtJccGMBh0x0FRxWjQIUzknr7CpS8tRSd2c/wDZ5IX+U/N0+Xt61at5ht8uRVIxgE/zNbQ05JV5A54/yaqXFgqsVHOOvHT2ptX3HF8uxXexjVhKRuhHJx3pd5O0yElf4G/pU1hHItz5Tcxled3QVWu7sWsvloofYenpTjCzKlNsx7lZlunE4w+cg57VaWRpYgh4J6N3rQlto7yJJVUGQ9z/ACpLax8tAGxu4A9B7enpWnMSOt7NkQiYh2UZ+Xn3qS7Kva5gAUp1QcZHtVeZgpG1sHb27A/y6UqXAkO2ThvUcf8A66UnzNMI+7oyGDkkElQPvEZ/l2+opLhhL8qgDcpAA9D9ODipJUYYweDyMcD357HNPtrcAlnPTn2rOpV5U2zppUnUajExpAxYliABn5ccDp/Wt60iuY7FECsdw3EjvnnH0xj86rtbLLdb5CibTkj1/CtSCbvI5x0A/wDrU3UbSscskoydynJFd9JYZFjPUn0rQtzbxxKkS+T/ANczgfl0NTSAOmI/vflj61lzxSwvkOgwTxtOPz7VPkOMdC5PI8ROHyB0x+dQwXLpMCDkkEKD39DRErShmkzxgKvUYx1z+NSpb7SZDzkdPQVlLcTV2XUMksKvk7mH40G3V5csqlU4Ukc+vWnW6Y8yPGCAMEemcVfQKY92cKPX2qoyNouysR28ahueSParUMwRid2D/KqqrJPgRbEjHG9u/PpUyaeveaQn1QBf55pJJ7FObTtI1La5BTIUDaO3fn0q9GN+Ou3pjOPmH/1jWNFayW0ituMkR+VjjDAH1HT8q1rRxJtY4Pr6f5xVX1szOcb6xLKwbiDz1xz/AEpJiyLkA8ZHHH6/lVxRhAOcYwOfTvVe4Crk8DORnp1OTXRDucVRWRSkJjuOuMqBgDrg5oDMOSWPtipJ1xb+aoyVbJOOeeKrfaJNrYbHymu7XlRw86eiHbjG5UqRzxn86lgbzJ/LVS2QQwA6ccfrUT3Mo3sGz7EZ+nFLLPJ5ZiLAAEFgnH4UCuTSrJFJ9mf5WwN/sKdvLEImAB6VDNKwCDJIdFIyc9OMVCJXA2hCWPTFNOI4ydr9S3MVC4HDetU8ZBA5JyKVpuDvBUDqcdKjeYYypBweoORSbsJO7JAqAYJUcYBxznOc1OghJWVo0ZWGdwHfrzVdJAz5z9acTGrMyEI2M8NgH8KuMrlqxqxgTgAIEjx09ainVY2wDxjGKoJqFxEf+PeRs8AjBH51KwmmBkk4J6LnpVOVmayj7pWkYtsf+9kj6GoslUBAz8uOeenSrjQ52+gwOPbiqzgrsXoBkioSXU55tvYjEkgIYuvy5GAMDHb9c0+beqbztzjIX+IioMEDI5+XZk+3epYATGxQZDYXPr61q4RtcwcpR23FVjH82TuPU1HNM0rqncc5p8zfMQOmOtVANwyWXBOMdDUrk6FSlUT94crYclHVm6AA8D8as2+EXHBY9WHeq3n7YzCI1dSVLZ6/QVaijVSBGxYsC+0/wjOAKXupBzSm7MnClvlHTvinGR1+SLDjuo601ZMJtXiU9PakP7teflm/pQk2bRQ7aCdsRDM3X0FRyHy8Iv3ugFO3YQIihWPOQKVQqMJJfmf+H6+9J6DGSorRrApHzLl/UZp24hj5bEcf/Wpq5YmSXjJ44p+C6gAuQRjCildLQyabY5VYOSzBi2D8v054pUn2NgMCw7AjP5UeQpI80kKRnbu5NPaKzki8swxkDsRVKKZtGTSJYr5t/J4rP1JRdMFBxzzg0rhkjIXnb056io4SZFDE8mizizSTTVyW2ULwevQVOVVpcY4XofWoc+YMjjaMDHep4jujEL8Y59zRcwbRMI8MHkPA5X3qGWQFzjh/7vt7UM8ky+U649CDTMCNQxAfYO9Pm7D03YLF5n8QAXnDHB/Co5pWfPBUD04I9qJJCyxsTuRuBntSoMllRfuD7oouNTS3RHbpsVnfAZui9wop8aCVvmGccmnM2+JmEeApxlf6ilJja3Uo6qx9eM/nSb7kxlbYjOFkIxwaYY2dwCdr9VPYip4oZJASVzjng0m/K5U/L6HqKlyNIzSQrIirs6N2BHWs+QI0hJBb3HNPuHxnOT6Kehqg12ykDPanSTZjWlFGtMg85wMlVfy1GepqaJ12jI+VeFH+feozG21AAcn5j9TT4o3VhwSQMKPT3rd22M4uzJW+QHPLMOe4A+n+FVmYgEhiAPQbh/jVkrwI1O6RmyxPb2pjoqjAGQOODjNJLobOd9yr809xFFIdsUY3sAeCewq0zkPjhWPHPGBSQRlEkm4Bkbbx149R+NIysclQfpjr+FRJamcpImQBiWwAc4TPp0/nSKEDZYZBYE8/5zSxx5by+FAB5HenOiu4LcRrkhfWklYqN5EW0z5LE4IyvYAUuAW42E5z93OBinkF8ZXYiDHuxp2CByOPfg9exqt/QbVn5iFEcYkRZAOzKP8AIpFTy2VFdvKl+QAnlTjpn0p4UA8ZOOMnvQwYgAAEht2D04qbtMSV/iJJXHYY9sY/SqU65VsfnUm3cyxqdjj+DJII9vTjNMvJNgIx7Yon7uttGVTinLRmZLI0e4DIX0rOurpTCemfrV24YlcjrWDeElj6fzrlnfY9OjNWs9zOuQsqsW6YJJ9qo2hKRAsD8+GPrtHQflV6dMwsCOMc+9Vm54XvUp2jZ9RVWpS06FlJNx8wDoD2yR6fWpJJwi5GN3YA9PqKotKIY9x6A9OxNV/OeQmZgW9B61NuxMXYtSXJRGkdhg9V7/UVSkmnvTtQtDb527h95vWneQ0reddEY/hj60pOADIdo2Hb3G3ODgjv9aErO+5LqaWRVkUWyjylIjVxuJJJOeCc/lSLcBJMt/KpZ1M0XO1Yz8oD8kjucD61mziRTswSx6c5zzVJ868xQkoMt3N68vyx/MT0p1nZtDukf5pX6n0HpTbaLyVAxl/4j/QVceUqvSoulodV21fZEX3WIBoEih1XqQelQSOx7EmkigcjLHBPp2qWmQ6ib1Lf2geYxA6gA/WlDAYjB5HO719qiESRjqSaYZkCnBwamxV12JXnyCwO3ByVqEvlmIO1iOg6GoHLSZI6+uaE3hwGAI7YqtiW10JWBLKzDr1xVlR59ttDfNtK9O+KiJbKA4/KnW8xVyN3G4nlM44qWtBK6dypC5PB/H+tWYdolHmD5D0qoxCSSMDwGzmp4n8xS5OM/oKp6C3J5HaaY7SQi8A+oqRJVjG1CC3rVBron5I8hf1NCOFOec+ppIfNdmsLxo/vHAPem3JWSIuCMnq3pWYJju+Y5Y/dJ6CmrNtkBI3KD07NS21Q+e6syeCNPMEkh2oOc46+1bK3YkOWUAHsDjI+tYbvJKxTAWI87SOlW4wkUW5jv2nKCiUkxJ8rLIMm5mfaxLMSHHYcdab5gG1Sigk9iecDng/hUX24gHd0xj6VGLgvcvKcbei8fn/ShOSeoWvobqMLeBEXnavP1qmpZfnbG9jwBUC3G7oefT1q3Cyk+pA5J7VN3E00eg2QNK/sOOlXbWy81uF4BzSQiNzuPyrwKtz6gljFiJcv0x9altti2LkgWyhBh2+Yeh9R6VAGErBmB2P1HvVK0SSZtzMSM5ANa6fZYYmkkypbjb70WUV5ivfcfHGVUeYwVz90+ooMAkUOE2oTgk9vxqqLn+1CIHBiborfSrUl6LUfZgF3bT84PGfejT5jTdiG6KwkR25DBuMg96jhtvMYRKOh5JHf3oRBaISMO8nJGOBTrqUwWRW1O55AMt/dHel6Fc19yKbYuVgwSD96suXTPtMuSeSeT61bt2IHlhd0h4ya0YLORCGK5Y+v50+ZEcxUS0WCJQFHHTj9ajNnK4JUY4I+ma3GSKOMvNgAcY/WqcjiQAs21AchQcc+9RJ32GpGFLpTZ3MUHGRz/nvmq0unFf8AVsGweBWtMkTkEB8bSMgn0zVXy7fOTJIBUrn3uac0bWsZvmSwuVYD5TyrfxVchRZYQsalRvK7T2HUY9utStYwSkHzHJAwCD296ZNC9tABApCjgH3NW3F6MSlKOsWZYmZHwVyM4q9EjP8AvIVyw7d/yP8ASkS1AX5vmPcjvViJfs2ONykblI6Ef41UmZrV3LWnzoF2kkMeueDmr11bwNDx155rFlaYTLLJjcyjIByce9XoZy6fMeKzZ0RtuQwgwzADhW+Xr69Ku49Mc9mGMfj1FRNEHAP41ZiQzBeMAL8/sRx+tQ9iXuRySiFw7MFJBQKf4uMYyKs2zefEm/IGP4u1LbRhZjJt5IIUegp9rAYZnhAOD8ygHoKpRVmnuTzyTutiymQAABgYwBV61UEgk5qqVIiO3hs9B3HqRSozKQRx3xTTfQ0ilvI6BIUZMcVTEZtpdo+4x49j6fpSW12wAz0qxcyK1uT9D9MGrVnuJvlVolhLgLEQTUTsT1698dqr2+58SOCB1Vf61LJIdhClh6AVvBdzgqvm0QOfMtp1w3KHHHPHP9KoAHZnLDoOn+NWbZ2MuCWOeOTUIjwTxjBI55rsg/dszjkhQcBc7sBt2DwSe1NAd+ChJPJwKeAFj+UfN0Bz0pgTKHhvf5q0SRFiy6sbaJmXYEBU7iCevTioNzKD87jI6Din25zbSqAPkIIH+fbNOESlSc4PcHnNJ+69iWr9SsZCittwB95mb+VVZYpLiN5NvkxfcDg4Zj7Yq6YscuOR0A7n/CmzqZTbhsBA3QDAPeiMtSHB2K8O7G30yBnvzVtEAGRyO/qeetIkWWPTOasorbcoOecD0o6s3hpEnh2Eg5HHSp5HQsEXnHXFZpWTPoD6VPE4VNq/mab73L576MmbaAwxiqM2Mt61M74GW61VRTcSlR90fePoKztd6FysloMit/PJZ/liznA6se9W5EXauxQoHAHpUwT5fu4HQDsKbjPGPzrXyOeFr8xSmjC4I64xmqbg46EfKQMds1pSt0A61Vfbkg+vas3Fp3Rp8SK8cSswZyBHuzkDgj+nNXEXdG0knygkbPpj1qPysFpG4JG1V9qeoIBXhVC7QCPlz16UXMXHlHsxEhkkGB/CRVaWYkGV8fL3zUtyrZVYzhEADg87m9vaqZYSy+WQQFGSD3rSL0uWpLYtW7zOnmsNqt0XuBUxO5lhRSyZGB3+tNjlD844HpU0QKIzf8tWHzN6D0FKRTYjYV2JYMpXaF65NCEE/O+DxhVGKbsC8A4Xnk9fzpyu6IMDIfgb+cDvUJLdmbbew8R4+TPGcsG44+tNkjKxjPykY4/z1qdFJGDuVuAFPOadJHlTyMgnCqeAKdxQk09TMLurgMMjvTEYAkqcAHOB2qxMhVc7SfSs4ZExByAetaX0LctS6shykijoeF/rU3mfaJGm/iHaqCuQxkHXO0VKJVMmeispH41nqQ3YsNdOdjEYw2DTA7eey9VcVErutusOSSxqwrCOKVmTeduF5xg+uadu4czWyGiP/Q3jJ+62VNSbvLvUYH76VHtcRnPUjJqN3G+IHdxRZPQab3JFkKrcr6HcKgV8bNxyhK5PoD3pxdQZ8Bsngc5qqc+QBtY9gMdqpR3YOHMkluWXLKY9uQ6k8j2qa1IJnQg5LbgSc9etVnJaRSeeOv8AOpbdttxxn5iRknPbj364qbNqzIdoz0FuRmEYkQDPAAP86yJLN5W3LuwOK2biRin8PQfWqgnVQFA4HSiEW+tjZrl1OoWKP7Uo2DGz0oeNFnmIUAheOOlFFVUe/oc99CBUXdO2BuA4NNjVTNggYxmiilJ6Fv4n8ivN8rQAdC7ZqzCo8tjgZHtRRRW6EdX6kUvySRFeMtRF888+7naTjPaiiqW39dzeHwf13H7RknHTpTsABxjpRRUz+Flw3Q61+ZGzzg4FTWaq3mkqCR0oopL4DOv8TK16i+VuwNynIPoaz9SY/Y7eT+MgAnFFFbr4BYf4xLq1hXTRKEAcjk5NcvHGk1y4kXcFHFFFc0vhZqm9SpfoqLhRgZqkI0RAyqATwTRRXNLc0TfL8zKvublE/hz0q46KiIVUDtRRTe0TTuV7piMYOP8A9VVI/wDUOe4jxRRSWxS3J5CTJHn/AGz+lRXSgWxlA+dW4PpRRTpbin8RLbAOgLAE4z0qby0aNmZckGiisluzaXwojt41KMxUE09cbOg/KiiiWxkviK0/WqMiKQTjmiitEbVG+VEVq7FiCeM1ZjP7wCiik0uVi+0yzN/qg3f1qqCQW5oopP4DSOxFGSzOG5BBqpDI/wBmYbuA2P1oop2M+jLqgBFIAzUsv3FNFFHUVH4StktE2e1LZndK27nAoopWViehfjAMDMRli3Wmj5peecUUVn9pgxSo54HeoX++g7GiitOhcS2qgcAcYq3afdB75oorOew0aHTbTboBrnkA8UUVD6Gi2Na1UBOAOn9ai1jlFz6iiioJe4afzK7d8n+VSKB5j+5GaKKrow7D3JGDk8dKWTo1FFSgW5XtwPticDrXQtwBRRUMO5QmAZgCAfmo2qcZUdPSiijoyegLGmfuiovIiMa5RenpRRT6DTdkVreNNoO0dKSRQwmYgEgDFFFHVGvcpSKBggAc0z+GAdvMNFFWyURN810AeQWxU9p810UP3fSiis3saLf5GlKAo4FT6fzaTseu4UUVnL4Brp8i1ZANIdwBx7VYAH29DgZGQPyNFFX1foKr8TLF78sJK4BxRbRJKih1zkE0UVdL4TOpshNPO8yhudpwK2Ehjkt03IDluaKKuek0S/gYkygAcetV0AKOe9FFbw2OKexDDxLkAflT3PH15oorqiZv4h4VfJBxyTzTV6jiiitHsZx6CxgZk4H3amCLu6dqKKa+JEN+6VkORg8gU+6AEUGAKKKy6/MuZNaxoWztGTUu0c8dWwfpmiinMwbdhXhjORtH4cVQgJMk4JyExiiilH4WXDoEpJizVu0iRYBhQO9FFVAdVskl+VARwahkP7otxkdDiiitOqKprQqxKHhd2GWBxmq0A8y6YPyF6e1FFQn7zL7lk/eI7U+VQEXAHeiis5/EhdUVmP7yQfX+lDKJYLgOM7fu+1FFaQ+MwnsJaKNzDHAarUXPmA9BRRUT+0dL6BEoeZVYAg9Riib5p2B6elFFa0dzPqyFCYLxUjJVSelbEyruPA6ZoopV9FoYS+FPyf5lWZVy3FZtwqiLeAN3rRRULZDT0RXCqLMEDnJNNYAquR/EKKKqG4l8RYjJERl/j9atzqFs4SAASQT70UVUv4kTaX8OQ0YOzgfMBn361DIoIyQKKKmPxMT2Q2dVXeVGMtWbIT56/WiirpGtDc0NgWVWHXlevam9ie4IIP40UVM/i+45p/BfzFvPlnUDj5v6ms6cAS9KKK3gdH2Yn//Z\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "h, w = 320, 480\n",
    "octave_n = 3\n",
    "octave_scale = 1.4\n",
    "iter_n = 60\n",
    "\n",
    "img0 = load_image('../assets/kitty.jpg', h, w)\n",
    "\n",
    "layer = 'mixed4d_5x5_bottleneck_pre_relu'\n",
    "channel = 21\n",
    "\n",
    "img1 = render_multiscale(T(layer)[:,:,:,channel], img0, iter_n, 1.0, octave_n, octave_scale)\n",
    "display_image(img1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we introduce Laplacian normalization. The problem is that although we are finding features at multiple scales, it seems to have a lot of unnatural high-frequency noise. We apply a [Laplacian pyramid decomposition](https://en.wikipedia.org/wiki/Pyramid_%28image_processing%29#Laplacian_pyramid) to the image as a regularization technique and calculate the pixel gradient at each scale, as before.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def render_lapnorm(t_obj, img0, iter_n=10, step=1.0, oct_n=3, oct_s=1.4, lap_n=4):\n",
    "    t_score = tf.reduce_mean(t_obj) # defining the optimization objective\n",
    "    t_grad = tf.gradients(t_score, t_input)[0] # behold the power of automatic differentiation!\n",
    "    # build the laplacian normalization graph\n",
    "    lap_norm_func = tffunc(np.float32)(partial(lap_normalize, scale_n=lap_n))\n",
    "    img = img0.copy()\n",
    "    for octave in range(oct_n):\n",
    "        if octave>0:\n",
    "            hw = np.float32(img.shape[:2])*oct_s\n",
    "            img = resize(img, np.int32(hw))\n",
    "        for i in range(iter_n):\n",
    "            g = calc_grad_tiled(img, t_grad)\n",
    "            g = lap_norm_func(g)\n",
    "            img += g*step\n",
    "            print('.', end='')\n",
    "        print(\"octave %d/%d\"%(octave+1, oct_n))\n",
    "    clear_output()\n",
    "    return img\n",
    " "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With Laplacian normalization and multiple octaves, we have the core technique finished and are level with the Tensorflow example. Try running the example below and modifying some of the numbers to see how it affects the result. Remember you can use the layer lookup table at the top of this notebook to recall the different layers that are available to you. Note the differences between early (low-level) layers and later (high-level) layers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/jpeg": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "h, w = 300, 400\n",
    "octave_n = 3\n",
    "octave_scale = 1.4\n",
    "iter_n = 20\n",
    "\n",
    "img0 = np.random.uniform(size=(h, w, 3)) + 100.0\n",
    "\n",
    "layer = 'mixed5b_pool_reduce_pre_relu'\n",
    "channel = 99\n",
    "\n",
    "img1 = render_lapnorm(T(layer)[:,:,:,channel], img0, iter_n, 1.0, octave_n, octave_scale)\n",
    "display_image(img1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we are going to modify the `render_lapnorm` function in three ways. \n",
    "\n",
    "1) Instead of passing just a single channel or layer to be optimized (the objective, `t_obj`), we can pass several in an array, letting us optimize several channels simultaneously (it must be an array even if it contains just one element).\n",
    "\n",
    "2) We now also pass in `mask`, which is a numpy array of dimensions (`h`,`w`,`n`) where `h` and `w` are the height and width of the source image `img0` and `n` is equal to the number of objectives in `t_obj`. The mask is like a gate or multiplier of the gradient for each channel. mask[:,:,0] gets multiplied by the gradient of the first objective, mask[:,:,1] by the second and so on. It should contain a float between 0 and 1 (0 to kill the gradient, 1 to let all of it pass). Another way to think of `mask` is it's like `step` for every individual pixel for each objective.\n",
    "\n",
    "3) Internally, we use a convenience function `get_mask_sizes` which figures out for us the size of the image and mask at every octave, so we don't have to worry about calculating this ourselves, and can just pass in an img and mask of the same size."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def lapnorm_multi(t_obj, img0, mask, iter_n=10, step=1.0, oct_n=3, oct_s=1.4, lap_n=4, clear=True):\n",
    "    mask_sizes = get_mask_sizes(mask.shape[0:2], oct_n, oct_s)\n",
    "    img0 = resize(img0, np.int32(mask_sizes[0])) \n",
    "    t_score = [tf.reduce_mean(t) for t in t_obj] # defining the optimization objective\n",
    "    t_grad = [tf.gradients(t, t_input)[0] for t in t_score] # behold the power of automatic differentiation!\n",
    "    # build the laplacian normalization graph\n",
    "    lap_norm_func = tffunc(np.float32)(partial(lap_normalize, scale_n=lap_n))\n",
    "    img = img0.copy()\n",
    "    for octave in range(oct_n):\n",
    "        if octave>0:\n",
    "            hw = mask_sizes[octave] #np.float32(img.shape[:2])*oct_s\n",
    "            img = resize(img, np.int32(hw))\n",
    "        oct_mask = resize(mask, np.int32(mask_sizes[octave]))\n",
    "        for i in range(iter_n):\n",
    "            g_tiled = [lap_norm_func(calc_grad_tiled(img, t)) for t in t_grad]\n",
    "            for g, gt in enumerate(g_tiled):\n",
    "                img += gt * step * oct_mask[:,:,g].reshape((oct_mask.shape[0],oct_mask.shape[1],1))\n",
    "            print('.', end='')\n",
    "        print(\"octave %d/%d\"%(octave+1, oct_n))\n",
    "    if clear:\n",
    "        clear_output()\n",
    "    return img"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Try first on noise, as before. This time, we pass in two objectives from different layers and we create a mask where the top half only lets in the first channel, and the bottom half only lets in the second."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "h, w = 300, 400\n",
    "octave_n = 3\n",
    "octave_scale = 1.4\n",
    "iter_n = 15\n",
    "\n",
    "img0 = np.random.uniform(size=(h, w, 3)) + 100.0\n",
    "\n",
    "objectives = [T('mixed3a_3x3_pre_relu')[:,:,:,79], \n",
    "              T('mixed5a_1x1_pre_relu')[:,:,:,200],\n",
    "              T('mixed4b_5x5_bottleneck_pre_relu')[:,:,:,22]]\n",
    "\n",
    "# mask\n",
    "mask = np.zeros((h, w, 3))\n",
    "mask[0:100,:,0] = 1.0\n",
    "mask[100:200,:,1] = 1.0\n",
    "mask[200:,:,2] = 1.0\n",
    "\n",
    "img1 = lapnorm_multi(objectives, img0, mask, iter_n, 1.0, octave_n, octave_scale)\n",
    "display_image(img1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now the same thing, but we optimize over the kitty instead and pick new channels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/jpeg": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "h, w = 400, 400\n",
    "octave_n = 3\n",
    "octave_scale = 1.4\n",
    "iter_n = 30\n",
    "\n",
    "img0 = load_image('../assets/kitty.jpg', h, w)\n",
    "\n",
    "objectives = [T('mixed4d_3x3_bottleneck_pre_relu')[:,:,:,99], \n",
    "              T('mixed5a_5x5_bottleneck_pre_relu')[:,:,:,40]]\n",
    "\n",
    "# mask\n",
    "mask = np.zeros((h, w, 2))\n",
    "mask[:,:200,0] = 1.0\n",
    "mask[:,200:,1] = 1.0\n",
    "\n",
    "img1 = lapnorm_multi(objectives, img0, mask, iter_n, 1.0, octave_n, octave_scale)\n",
    "display_image(img1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's make a more complicated mask. Here we use numpy's `linspace` function to linearly interpolate the mask between 0 and 1, going from left to right, in the first channel's mask, and the opposite for the second channel. Thus on the far left of the image, we let in only the second channel, on the far right only the first channel, and in the middle exactly 50% of each.  We'll make a long one to show the smooth transition. We'll also visualize the first channel's mask right afterwards."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "image\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "masks\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/jpeg": 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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "h, w = 256, 1024\n",
    "\n",
    "img0 = np.random.uniform(size=(h, w, 3)) + 100.0\n",
    "\n",
    "octave_n = 3\n",
    "octave_scale = 1.4\n",
    "objectives = [T('mixed4c_3x3_pre_relu')[:,:,:,50], \n",
    "              T('mixed4d_5x5_bottleneck_pre_relu')[:,:,:,29]]\n",
    "\n",
    "mask = np.zeros((h, w, 2))\n",
    "mask[:,:,0] = np.linspace(0,1,w)\n",
    "mask[:,:,1] = np.linspace(1,0,w)\n",
    "\n",
    "\n",
    "\n",
    "img1 = lapnorm_multi(objectives, img0, mask, iter_n=40, step=1.0, oct_n=3, oct_s=1.4, lap_n=4)\n",
    "\n",
    "print(\"image\")\n",
    "display_image(img1)\n",
    "print(\"masks\")\n",
    "display_image(255*mask[:,:,0])\n",
    "display_image(255*mask[:,:,1])\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "One can think up many clever ways to make masks. Maybe they are arranged as overlapping concentric circles, or along diagonal lines, or even using [Perlin noise](https://github.com/caseman/noise) to get smooth organic-looking variation. \n",
    "\n",
    "Here is one example making a circular mask."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/jpeg": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "h, w = 500, 500\n",
    "\n",
    "cy, cx = 0.5, 0.5\n",
    "\n",
    "# circle masks\n",
    "pts = np.array([[[i/(h-1.0),j/(w-1.0)] for j in range(w)] for i in range(h)])\n",
    "ctr = np.array([[[cy, cx] for j in range(w)] for i in range(h)])\n",
    "\n",
    "pts -= ctr\n",
    "dist = (pts[:,:,0]**2 + pts[:,:,1]**2)**0.5\n",
    "dist = dist / np.max(dist)\n",
    "\n",
    "mask = np.ones((h, w, 2))\n",
    "mask[:, :, 0] = dist\n",
    "mask[:, :, 1] = 1.0-dist\n",
    "\n",
    "\n",
    "img0 = np.random.uniform(size=(h, w, 3)) + 100.0\n",
    "\n",
    "octave_n = 3\n",
    "octave_scale = 1.4\n",
    "objectives = [T('mixed3b_5x5_bottleneck_pre_relu')[:,:,:,9], \n",
    "              T('mixed4d_5x5_bottleneck_pre_relu')[:,:,:,17]]\n",
    "\n",
    "img1 = lapnorm_multi(objectives, img0, mask, iter_n=20, step=1.0, oct_n=3, oct_s=1.4, lap_n=4)\n",
    "display_image(img1)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we show how to use an existing image as a set of masks, using k-means clustering to segment it into several sections which become masks."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sklearn.cluster\n",
    "\n",
    "k = 3\n",
    "h, w = 320, 480\n",
    "img0 = load_image('../assets/kitty.jpg', h, w)\n",
    "\n",
    "imgp = np.array(list(img0)).reshape((h*w, 3))\n",
    "clusters, assign, _ = sklearn.cluster.k_means(imgp, k)\n",
    "assign = assign.reshape((h, w))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/jpeg": 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COc1Ha39nfef9ju4LjyJWgm8mQP5ci/eRsdGGRkHkVYrP1PXdH0Tyv7W1WxsPOz5f2u4SLfjGcbiM4yOnqKy/FviC+0cabYaNa2l3rGqXDW9rDc3HlKgEbO0zDBLIm0bgME5AByQDz/xB+Lmi+CHm0xTJda0bdnjiiQOkLlf3fnfMpAJIOBk454yM8B4h+OMnioT6L4f0y7tIHRpJLuXyJWa3SMvOHt5FKMNgkwvmAnaOeSpj8HfG6fRJdf07xLDOkdv582nw3cssk8cgY4tHkKlj1wHfldpzkYC+x+EPF0PijTY5pIY7O8ZFc2vniTKtFFMCpwpYBbiIMdowxxyME7l9by3dnJBDez2UjYxPAELpgg8B1ZeenIPX15rwf4y+DdH8G+Db270WHyF1nVbfz7cqjRxbI5mHlArmPJJzg9CVGFJFeAUUUUUUUUVseFdBuPE/ijTtGtYvNkuZQCnnCL5ANzneQ23Chjna3TgE8HQ1XRNd+GfjKy/tG3gF9Zyx3tv84kjmVJDtbgg7SUPB2tjsK2Nc+M3jbWJb2OLWZ7KxnlZ44IFjR4U3blQSqqvwMDORnv1Nef0UUUUUUUUUUUUUUUUUUUUUV7/+zXpn/Ic1bzrFs7Lbytu65T+LdnPyxt0xg7inbZz9AUUUUUVy/jfx1YeAtOtr/U7K+ntZ5fJD2ixtsfBIBDOp5Abpn7pzjjPiF9+0j4kkvJGsNG0qC1ONkc4kldeBnLBlB5z/AAj05614/fX95qd5JeX93Pd3UmN808hkdsAAZY8nAAH4VXortLLxVY6d8IdR8OQQxtqmqamHuZDFyttGsbJ8/HPmA4HIA39Mgni6+w/hbr63XhPS9B1Fo7XxBp9kq3GnOrRyxRKxjjZkbkEqqMf99TgBlz3lZfiHX7Hwvok2sam0i2cDxrK6LuKB3VN2OpALAnGTgHAJ4ri/FVjZahPBqnjm40OLQNK1CWa1M1tIk1wAjDyWVz2ZS2F3iYIhCgD5vmTUvGPiPVvEC69d6xdnVEQJHcxP5TRrgjCbMBRgnIGM7j6mseeea6uJbi4lkmnlcvJJIxZnYnJJJ5JJ5zUl0lvH5CW7+YwiUyuGJVnPOACqldoIUjn5lYgkEVYs4X82ztL+6nsNMvpY5JJjGzJsDMnnBB9/bmQDH+0B3rYt9f8A7Kgs0RYLlbOV7jT55o90ksLPse2nVZcJCwEjGMhjlzj5ZCx+h/hP4z1vxrp0M32XSrDTbDdbXFvb2kq5IAMXktu2Ku04K/MV2DtINvzp8QL++1L4g6/cakY/tYvZIXWNtyqIzsVQdq7gFUDJAJxkjJrm6KK9Q+C/hXTvGeo61pGr6Z59j9kEwvUDLJbTA7UCuOBkO52sCGMYODtrqPFf7OdxFLbyeE7/AM+E4SeLUZQHUlgN6sqgFQCSRjI2nG4kAeH39jcaZqNzYXkfl3VrK8MybgdrqSGGRwcEHpVeiivpf9nGws/+EN1DUfskH27+0JIPtPljzPL8uJtm7rtzzjpmug+MXgKXxl4XEmk2UEut20sbRtsRZJYwWBj8xiNqjeXwTjK9MnNfJk8E1rcS29xFJDPE5SSORSrIwOCCDyCDxio6KKKKKKKKKKKKKKKKKKKKK9ssf2f7vUfAdpqn2i7stea3lll06eNGEjZJiQHK+USoXO4nBbkDBFeb2nhS7srKw17xHYalaeG57hYjcQxp5suULjy0dlyGUcPyvXqRg/Xfg7xdZ+NtD/tews762tTK0SfbIghk24yy4YgrkkZz1Vh2roKKKKK87+Lfh/Xtb8NXL6brt3aWlvbuW0+xsnllvpCCoRmRs7DkDG0gZLNkAbfkgSKLd4jDGXZ1YSktuUAHKjnGDkE5BPyjBHOY6KuT6pd3Ol2emyPH9ks3keFFiRSGk27yzAAsTtUZYnAUAYAqnRXSX3j3xNe38V8NXu7W4jt0t/MtJmiZwERSzsDl3by0LMxJO1R0VQPVPAPirxVqmradq1vq+uatY2VpFZXtqbeKYzTtJ9wRrIuxdhyLmUjJjbJOdler+EhrE/hzULPWrT7Xf2WoTCF7132XLBxNG4ZoVwqswQMse0eVlBjAHD/E2xsNJ8JeHZfGGr/bWs7RIJNNWKOSXUJ1VCxjuGXzYlLKPMcHlcDAYjd5BbafoWi+IItQ1kQJYtaNNa6fBIZ5C/2SOWDzS64G4yrlijIXRxsCdKfhLWfEPh8RajpGlSXTm4a2sLp4ppFt7mWPYwiVWEbSspXhlYnavHFY5n1c+FUt2lkXRVvWdIywVXuCgDEDq5CqoJ5Cbh03/NX0uwXUr9bV760sUKO7XF2zLGoVC3O0EknbgAAkkgDrVy3sNWjvE0CO0ga61T7N5aPHEzt5gV4tsjZMe4OucMvXDdMV734G0G+8C+DvEMHjq/jtvDcDy2U1nHZfLOJfLAuBNGPMcMHKdMjocFcD50v5re41G5ms7X7JaySu8Nv5hk8pCSVTceWwMDJ64qvRRXonwg+IEPgTxLMNQ8z+ydQRYrkooJiZT8kmMZIXLAgdmJwSAD7XrPx78E6fpzzaddT6pdchLeGCSLJwSCzSKAFyACRkjPQ184eNvE//AAmPi++1/wCx/Y/tXl/uPN8zbtjVPvYGc7c9O9c/RViwsbjU9RtrCzj8y6upUhhTcBudiAoyeBkkda7waX8SfhFbvqypJpEF262zsJYJ1kbBZQUywyArYbHHIzzz9V6F/aP/AAj2mf2v/wAhP7JF9s+7/rtg3/d+X72enHpXJ/En4YWPxCt7RjcR2GoWz4F6IPMZosHMZG5cjcQQTnHOPvGvGNV/Z48X2SXEthc6bqCI+Io0laOWVd2AcOAinHJG/scE8Z8nngmtbiW3uIpIZ4nKSRyKVZGBwQQeQQeMVHRRRRRRRRRRRRRRRRRRXongn4N+I/GlhBqkclpY6XK4C3E0m5pFDsrlEXJypU8MVzxg9x9Z2Fr9h062s/tE9x5ESRedcPvkk2gDc7d2OMk9zXL/ABD8H6X4v0e0t9Ttp5Fiu4wstpFuuIw7BCUYnCrkqzkhhsRuMhWXpNJ02HRtGsdLt2kaCyt47eNpCCxVFCgnAAzgegq5RXN6F420jXNXutGiuI11a2e4820UlykcU7Q7mbGAWwrbScgMOo5PSVHPPDa28txcSxwwRIXkkkYKqKBkkk8AAc5rwPxP4l1TxZo9r4nHijVfDthdXb2mi6RpkPm3d+AwUyEJKuW3ZG08LgAElgX8Utr6ytdZtpZoZLywtHIiVY4oJJVDMyl8pIpOSMhg/Hy5wBg1S3hnuGuNPnkvR9nS6vXjshBHbyORuQKvARWdU3YUEnAGMZ2LP4jeI7HwrdeH4bmMwXSeTLcSp5k5t9hQW4ZiQsQDMQAAVLHBGTXJ0VYSwvJLNrxLSdrVM7phGSi4KA5bpwZIwf8AfX1Fbl7o1ivgzTr+wstZmvyhm1G5aPFpAhlkjjCnZklin3t2MggZOQvvfwNh8LQWt+uha1fXM3ybrW7uguf3UTSSi2GNnzt5e47/APVgByCc+wV5Xo+m2U3jq813U7O71iefU5LDRo7lIpJLOGGV2mnyWGIlnLKrEb1AjUffAqx4f0Rde+LPibxHfabHe6fbPDaaZd3ZY+TLDgSiGNhjAlDfvBjDA7c7mIk0fQZ/D3gt9R0/wZBZa7bb10zTrjUZb8QM525VyCItxYlgmFIxvdRkp5Z400HxHp/hOO3vIJL1IUlu5tChsfLt9G89pW84PBMdwDJKELblVc7guQp4vTfBFvrEGnw6drsF3qt/9mWKzgiLeW8jzBxIc7lWJIQzMEb76/wkOfV/Cv7PiRwade61qN9Y38cQlkFhdLvjn35Xa2z5dihckFssxwVCjfgftA+MLfU/ENroem3O9bCKSO9eGU7Wd3QmFhjB2mJCeT8xxwVrxeiiiiiiiivXP2f/AApDrnjGfWboRvBo6K6Rtg7pn3BDggjChXbOQQwQjvXvfjrwRZ+PdJtNMv7qe3tYbsXLmADe+I3UKCQQOXBzg9Md8jpIxMHmMskbIXzEFQqVXaOGOTuO7ccjHBAxxkyUVn6noWj635X9raVY3/k58v7XbpLszjONwOM4HT0FfCFFFFFFFFFFFFFFFFFFWLCxuNT1G2sLOPzLq6lSGFNwG52ICjJ4GSR1r7n0LTP7E8PaZpPned9htIrbzdu3fsQLuxk4zjOMmtCsfxZfXGmeDdcv7OTy7q10+4mhfaDtdY2KnB4OCB1o8N6zp3ifR7bxDpjztb3sQCiUsNuxmBGwnaGDFgSOuByQFqn478Vt4K8J3Ourpsl+IHRWiWVYwoZgu5mOTjJA4BOSOMZIk8F+LLPxr4Xtdas08rzcpNAXDtDIpwykj8CM4JUqcDOK8z0/wlD4V/aNS9u4ZJrfXEurjTJhICY7grvmDgYwArSAcMMOnUgke2V5f8VfinZ+Dfs+lRWNjq811uS9tZLgfuo/kJWSPB++jsBnA74YcVueEdWvtX8J2l1oXhm00Swe9At4LlvLDWRYM0yxxrgOwLYU4GTu3MMbrmpW3hP4kaPNpbX1jqtrFLFLILO5SRoyGyPmUkpuAZcjBKlgCK+bLT4SeL9WtdOTTZrTUNPuLi52TQXLG3h8uVYXlJIAw21SNuWZUzj5cVnv8OdS0nVHj8Ry2mlWMVxLEJ7ydoRd+V8z+T+7ZyCv3X8sqSQOWIU83a6Vea3qM8Gh6XfXWN0iwQobiRI84G4oozjIBbAGT0GcV3ngb4L+I/EuqRtrFjd6RpKOfPluI/LlbGDtRG5yc/eI2jB6kbT7fpXwu8N3eiW6XGlyWNnPb4m0q1u5lilO/ejysUjmkccYWThMkBQear3NrZeCvB0a+NIbTW47i9jSx0fT9Hi8iCZ9x8q3jxljlpPncgkDoGJ3cvr/AIg8W+CNbaTwh4e0aTS9TcQwadY2c7PC6J5mZYlEflzvHIGK4ztjUH7mTQX9oi5tNEspIvC8jySOftFxNdP5TShw0qR5DHG11IBb93vUYKqN3sfg/wAN/wDCOaHbwXEn2jUmiQXU+7ILDJ8uMYASFSzBEUKqg9Mkk6h1KEaymlqsjzm3a4dlAKxKGCqH5yCxLbeOfLf+7WHqXie/XxHaaFpmh30kz3apcX1xbSLaRQBFkdxIAQzEEooyPnB3YAG6n4p+Hq+LvEEd5qGualFpiWT24061laNfNYSKZic4zskZcbecAElcqdDw14G0XwtcT3lnFJNqFwgjmvbggyMgPyooUBEQAKoVFUYRRj5RXn/xV+MtjolvqPhzQmkn1goYJbqNtsdqSCGwwOTKvHThSeTlStfMlFFFFFFFFFfSf7NmmwxeFdZ1RWk8+4vRbupI2hY0DKRxnOZWzz2HTv7ZRRRRXwBRRRRRRRRRRRRRRRRRX1X8JPhVY+FLK216+ElxrV1bo6ieHyzZB0BaMKSTvySpY4OOABls+qUVy/xHvrfT/hr4jmupPLjbT5oQdpOXkUxoOPVmUe2eeK5f4A6n9v8AhfBbeT5f9n3c1tu3Z8zJEu7GOP8AW4xz93PfA7DxzpNvrngbWtPuoZ5o5LR2CW8Zkk3qN6FEBG5gyqQuRkjB4Nef/B//AIpDxH4i+HFz/pF1aSnUI7yPhJI2SIYKnlWwUOORywzwC3qF9o1nqGp6XqMyf6Vpsry28gAyN8bRspJGdpDZIGMlV9Kp+Ktcm0HQb+7tbWSe4hsrm5QmMmJPKjLAyHI4LbV2g7jnIGAxX44trmbxZ41tZteuru4fUb2JbuaJS8pVmCnYoB5C8KoU9AAOgr7fgghtbeK3t4o4YIkCRxxqFVFAwAAOAAOMVT1XRrPV9O1GznTy/wC0LRrOeaIASGMhgBuIPTexGcgFjxyaj0PQbTQLKK1tJbt0jt4bcefcO42xIEUhSdiEgc7FXJ5NeX/HLw7q+sXGiTWJu7i12TQz2EEoRrjBSYxx4Ukuywu/zZX9wuBuID0/hz8H7O0ltdW1fSr5Vv8AT7pJLW6uQDab2KKrbArMzwSEdF2FXyAWUJ7RYWNvpmnW1hZx+Xa2sSQwpuJ2ooAUZPJwAOtY+oa6i2dx9i1rSjcPqEdhbltriKUlA0TqZk3yD522hlbGAFYj5q+q6f4VtNcfWdQ077dqw8khltZb6a3A3mNkjUOYVyrncoUFgckmti+sbLxHoclpdxztY3sQEkZaS3dkODtbG11yOCpx3BHUVy958LPD9/KLmSL7LfQ7ksrjTkW3FlFuLKsSYKBgWZt5BbezMpTCBOwvpriCzkktLX7VccCOIyBASSBlmPRRnJIBOAcBjgGnoGkNoulrbz3kl9eSOZru9lRVe4lbqxA4AAwqj+FVVc4UVYs9KsbC4urm2to0uLt99xP1klOSRuc8kLkhQThRwMAAVj+K/HnhzwZbl9Z1GOOcpujtI/nnk4bGEHIBKkbjhc8EivnT4jfGbVPGP+gaUJ9K0gb1dFl/eXQOR+8I6KVP+rGRknJbjHl9FFFFFFFFFFfWfwI0SbR/hlbzT+YH1G4kvBG8ZQopARevUFYw4PGQw+p9Moooor4AoooooooooooooooorvPhV8P5vHfiUCXyxpNg8ct8WY5dSTiNQCDltrDIxtAJznAP2HRRXj/x51v/AIpyXQI7jyI2iW7vH2ZLLv2wQrkAFnkUvwwZUgkOGHB3PghpS6Z8K9Mf7NJBPevLdTb9wLkuVR8HoDGseMcEYPfJ7DxDa6ve6JNb6FqEen6g7xhLp4hIIl3rvO0ghjs3AA9yOR1GPf8AgqG++JukeMDPIHsLKW3MYcYLEkIcbem2SbPI5CY756yo54Ibq3lt7iKOaCVCkkcihldSMEEHggjjFeb6P4M8Lr8RlhstCk+z+G7KOO2mYu0UVxJI8xQmRjvdVkR1KghfMbcciPHplFFfOnxa+Ifiu0+JraH4evLu1FokMKQ2+HNxK5SUHbtySTsTbzkBh0dgfb/CugL4f0uVXWP7ffXD32oNEzMjXMmDIUzyEB4UdcAZyck7lYcnhTTZPEGk6uRIp0i3eCwtY9qQQbwFZgqgHO0BcElQBwAea2IY2iQq80kxLs25woIBYkL8oAwAcDvgDJJyTJRVPVZ7610u4n0yyjvryNN0Vs8/kiU/3d+CAcZxkYzjJA5HhHij4/8AibSdUfTE8K2mmXlq7JcxX0rTknjbt27ABjnPzBgQRx14fX/jb4315GiXUI9MgZArR6chiJIbO7eSXB6A4YDAxjk58/nnmuriW4uJZJp5XLySSMWZ2JySSeSSec13Hwz+Gc3xFuNRVdUj0+CxSMu5hMrMzltoC5UYwjZOfTg54ueNPgv4g8GaPdazLd2N5psEoQvC7LIEZtquyMMDJKggM2C3cAmvN6KKKKKKKK7z4Z/DO+8f6oXcyW2i27gXV2ByT18uPPBcjv0UHJ6gN9fwQQ2tvFb28UcMESBI441CqigYAAHAAHGKkoooor4AooooooooooooooorU8OaBfeKfEFnoumrGbu6cqnmNtVQAWZifQKCeMnjgE8V9h+BfAul+A9DFhYDzbiTDXV264e4cdz6KMnC9s9yST1FFFfMHxM07XfFvxXtfC0V3Yz30uJTbwwCGO0keNS4aUjdNiKKNi55IGAq42j3/wAE6np2r+ELG50iHytMTzLazXczZhhkaJGywDcqgODyM4OetbF/fW+madc395J5draxPNM+0naigljgcnAB6VYqOSRkeFVhkkDvtZlK4jG0nc2SDjIA4ycsOMZIkqul9byajNYLJm6hijmkTaflRy4U56cmN/y9xViiq7w3DajDMt1ttUikSS38sHzHJQq+7qNoVxjvv9hXg/gbR7d/2jtfEjwSTWEt7fxz2spYOZWRfLfPHyCVwQACHyCSABX0BRRRRRXJ/EO8hXwVrlvFrElhqEdk9xCba5EU+5FeVQO+G8lwcdVV/QkfGl9f3mp3kl5f3c93dSY3zTyGR2wABljycAAfhVeiveP2aL63j1HxFYNJi6migmjTafmRC4Y56cGRPz9jX0HPBDdW8tvcRRzQSoUkjkUMrqRggg8EEcYr5w+N/wAMBo9w3ijQrSOLS2RReQRLHFHasCkalFGCQ5IyADggknnjxOiiiiiu4+E/g638beOYbC+5sLeJrq6QOUaRFIAUEDuzLnp8u7BBxX0XB8GPh9bXEU6eHYy8bh1ElzM6kg55VnIYexBB713EEENrbxW9vFHDBEgSOONQqooGAABwABxipKKKKKK+AKKKKKKKKKKKKKKKK9o/Zw0d7rxbqer78Q2NoIiolZSzyt8uQOGXEb5Dd9pAyMj6XooqOcTNbyrbyRxzlCI3kQuqtjglQQSM9sjPqK4vRvB3h/4Z6drniCP7dfXRiluru8u3WW5dFBdlBwo5IJ9zjJOBi58MtEm8PfDfQ9OuPM89bfzZFkjMbRtIxkKFTyCpfb+HQdKPidJfRfDLxE2nQxzTmydWVzgCIjErdRyIy5HuBweh6Sw+2f2dbf2j5H27yk+0fZ8+X5mBu2Z525zjPOKsUUUUV5/8UvtFn4E8TXd/qc/9mSRW0cVtZRCOVB5oEimQsc+ZuCE4wq/wvyG5/wCA3gaz0fw5F4pkl87UtTiZF2SBkhh3/dG0kFiUBOeVxtwCGz7BRWH4t8VWPgzw/LrOow3ctvG6oVtYt7ZY4GegUe7EDoOpAOH4M+JVn4t8Pazr8mnz6dpmmyyAzyuJN8aJvLbV+YMFIJXBHIwzc46jRNb07xHo8GraTcfaLGfd5cuxk3bWKnhgCOQRyKp+MLbV7vwnfx6DJJHqwRZLQpMIiZEYMBkqQQduCpGGBKkqCSPjTxPrWs69rk114gbdqafuZy1skD5TjDqqr8w6cjPAHYVj0UVoaNrmqeHtRS/0i/nsrpcDfC+NwBB2sOjLkDKnIOORXrnhL9ofV7O4ig8U20d/ZhGD3NrEEuN2cqSMhCP4cALxg5JGD9B2N9pfibQ47q1kgv8ATL6IgEruSVDkMrKfxBUjjkEV4f4y/Z2/1t74QvPV/wCz7tv944jk/wC+VAf3JevDNV0q+0PVLjTNTtpLa8t32SxP1U/yIIwQRwQQRkGqdFFbFj4T8SanZx3lh4f1W7tZM7JoLKSRGwSDhgMHBBH4V9B/BD4Z33hZJfEesGSC/vbfyYrIjBiiLK2ZO4clV+X+EdeThfZKKKKKKKK+AKKKKKKKKKKKKKKKK+k/2b9EmtPDWr6zL5ipf3CRRI0ZUFYgfnVv4gWkZeBwUPPp7ZRRRWP4o8PW/irQZdHvGxazSwvMMH50SVJGTggjcFK5B4zntVzTNSh1W1e4gWRUS4ntyHAB3RStEx4J43ISPbHTpVieCG6t5be4ijmglQpJHIoZXUjBBB4II4xUlFFFFV76/s9Ms5Ly/u4LS1jxvmnkEaLkgDLHgZJA/GsvxA+i6h4Y87Un0240eR7eZ5Lu5CW7p5iMrF+Qw6EA8OcKThs1h/CN0Hw4sLNbyxupLCW4tJJLEqYyUmcAjaBnK7WyRlgwY5LZPcUVXvrCz1Ozks7+0gu7WTG+GeMSI2CCMqeDggH8K8r+JPwam8WG0k0LULTToLG38q20swFLcM0hZ3BThCQwzhDkqMn0j+Ck+o+GotQ8EeJU+w6lBKtzZQ3F0rGaORSWWFQSGVTGzEqSMu2cEHPcah8QPD+m+NLDwpNdZ1O8yMKV2QEjKLIxIwz9FUZJyOBuGeX+L3wt/wCE4s01XTG2a7aReXGjvhLmMEt5ZzwrZJIbpzhuMFflSeCa1uJbe4ikhnicpJHIpVkYHBBB5BB4xUdFFFdJ4M8c614F1R77R5YyJU2TW84LRTDnG4Ag5BOQQQRyOhIP0H4Y+P3hbWpYbbVIp9GupOC0xEkAYthR5g5GQQSWVVGDk8ZPoGp6H4f8XadEdRsLHVLWSImCZkWTCSAZaNxyuRg7lI6Ag8CuPm+BXgGX7Rs0ueLzYhGmy7kPkt83zrljluR97cvyjjrnxTRfgf4rv/Fk2j6hbSWNnbuVm1IIHiI2sUaMFlMgJAHHK7vmAPFex+GPgR4T8P3kN7defq9wkWxo70I0BcjBcR7frgMWxnuQCPTIIIbW3it7eKOGCJAkccahVRQMAADgADjFSUUUUUUUUV8AUUUUUUUUUUUUUUV6B4Q+Eeu+MbPTNRsbqx/s26lkjuZlmDPZbDz5kfBLEcqoznIyVBzX0f8ADbwbceBfC76Pc3sF232uWVJIYBF8hIC7u7NgZJOcZ2gkKDXYUUUUVwenx30PxGutA0ua7tPD9h4cgt9oGRBOZHETR+YDuPlhhuAZSUw2SuBofDjVW8QeCrHXJbm7nnv0V5/tG0BZUVYZNirwqFomfA7uTxnA6yiiiivO/jL4Lm8YeCmNikZ1DTnN1CPJLvKoU74kI5BbggDOSqg+o6zQ9Es9P8JWWim3nezS0WBoL9xM5UrgpIclT1IIHyjoPlwKNB0m38PQDQ9M037LpFrEr27+eX3O7yGRMMSwx8pyTz5mB92tiiiiuX8WfD3w1412yazYeZdRxNFFdRSNHJGD7g4bB5AYEAk8cnPJ6T8AvCujazY6pb6hrLT2VxHcRrJNEVLIwYA4jBxkeor1Sub8V+A/DnjO3Kazp0ck4TbHdx/JPHw2MOOSAWJ2nK55INeOaz+zXeJvfQ/EEEuZTthvoTHsj5xmRN25hwPuqDyeOlR6b+zTqUtuzap4ktLafeQqWts06lcDksxQg5zxjsOeeNOx/Zos47yNr/xPPPajO+OCzETtwcYYuwHOP4T6cdaueKv2eNIudLiPhe5ks9QiREIu5S8U+M7mYgEq5zn5fl+XG0ZyOA034AeNLrWWtL2O0sbNHIa9adZFdQwGURTuJIywDBemCVNXPiJ8DrjwpocWr6Jcz6lb28Q/tBXUB0I6yqB/yz9RyV65YZK7/wCz94//AOZL1GT+9JphWL/eeVGYfiwyP7wz90V9AUUUUUUUUUUUUV8AUUUUUUUUUUUUUUVqaV4h1LRbW/t7C5khS9SMOUdlKtHKsqOuCMOrJgHnAZsdc19n+ET4jPhq0HiqO0XVggEptn3BuBywwAr9QQuVyMg4OBuUUUUV4mWuZvjaj2d/d2+n61rDLIYVeFpDp1qAV3Hh4mleRGG3B8rg12HwjENl4Mn0GKSSV9D1O706WZkCCVllZ9yjJwCrr175+p7yiiiiiiiiiiiiiiiiiissa0P+ElGiSWF3E7273ENyxjMUyoYw4XDlwQZVHzKO+M1qVHPBDdW8tvcRRzQSoUkjkUMrqRggg8EEcYr5c1HwK/hD4+aFpliPPtZ9Qt761jhVmaKDziSrZyfkCNk5PyruOOQPqeiiiiiiiiiiiivgCiiiiiiiiiiiiiius+Gml6RrXxD0jTddSN9PuXkR0eUxhm8ttg3Ag5L7QADycDvX2nRRRRRXkfiSNYv2htN1ieaOGz0fw5LfXbsGJEQM6EqACSQZAcegPfAMnwyvrjT/AIleP/DV/J5cjag2p21vtBykjEs+4eqtBwTxnpndXrFFFFFFFFFRiRjcPEYZAiorCUldrEk5Uc5yMAnIA+YYJ5xJRRRRRRRRWfDrml3GuXOiRX8D6nbRLNNah/nRG6Ej8s+m5ScblzYvr+z0yzkvL+7gtLWPG+aeQRouSAMseBkkD8a4+++MHgHT7yS1m8RwPImMmCKSZDkA8OilT17Hjp1qOD4z/D65uIoE8RRh5HCKZLaZFBJxyzIAo9yQB3rc/wCE78H/APQ16H/4MYf/AIqox8QfBrXDwDxVo29EVyTexhcMSBhs4J+U5AORxnGRnpKKKKKKKjmnhtkDzyxxIXVAzsFBZmCqOe5YgAdyQKkormx8QfBrXDwDxVo29EVyTexhcMSBhs4J+U5AORxnGRn4koooooooqxY2F5qd5HZ2FpPd3UmdkMEZkdsAk4UcnABP4VHPBNa3EtvcRSQzxOUkjkUqyMDggg8gg8YqOiiu88KfCDxf4ttxd29nHY2bJujub9miWXhSNoALEENkNjacHnPFc34h8K674UvBa65pk9lI33C4BSTABO1xlWxuGcE4zg81c+HxhX4jeGzPHI6f2nbgBHCnd5g2nJB4DYJHcAjIzkfbdFFFFFc3400mG68K+Ibi30+ObVJdHubWOSOENO6lGIjBA3EFudvrXN6BpGu3Hxk1TxPeaNBZaZJp8thDKhAklaO4Cq0gOGLMsZYEDbsMYycV6RRRRRRRRRVM2DNrKagb672JbtALMMogyzBjIRjJf5QAScAZwBkk+N/ED49voOuXOjeHNPguJrOUxXF1eBtm9ch0VAVPBwNxPZsAjDV6x4Yj1QaHDNrN/wDbL65/fvtt/ISENyIkQqHCqOP3nznnOOg2KKKKKp6lq2m6NbrcapqFpYwM4RZLqZYlLYJwCxAzgE49jXjfj34/Wdh9r0rwpF9qu13Rf2kxBhjbj5oxz5n8QycLkA/Op5wPhN4J8c6b8TIta1TT763tVluIdQnnmAMzFGOSC2ZVLlDuG5SRnPGRj/HTx0/iLxQ+gWpxpukStGSrMPOnwA5ZTgfIQyDg/wARBIbjyeiiivUPhb8XrjwPu0zVUnvdCbcyRx4Mls55ymSAVJ6qSOTuHOQ3b+If2kbNbML4a0ad7pusmpAKkfI/hRiXyN38S44PPSuAsfjr4+tLyOebVIL2Nc5gntIwj5BHJRVbjrwR09OK6CH9pHxItncrNo2lPdNt+zyIJFSPn5tyliXyOmGXHXnpVf8A4aO8Yf8AQN0P/vxN/wDHar337Q3jW7s5IIYtKspGxieC3YumCDwHdl56cg9fXmvP/EPirXfFd4LrXNTnvZF+4HICR5AB2oMKudozgDOMnmsetix8WeJNMs47Ow8QaraWsedkMF7JGi5JJwoOBkkn8ap6lq2pazcLcapqF3fTqgRZLqZpWC5JwCxJxkk49zUmmaLf6t5slrazva2+DdXSwSSR2qHPzyFFYqoAY9OinANZ9FFFFFFe0eDofgnpunWN5rOpT3mptFDLNDdwztHBMBl1CpGFZdxxhtwIA98+h6R8VPhNpD3a6XLaaYGdVZrfS3iE4C5DfJHkgFmHzYOQ3GCCdT4gaj8OtU8LwSeJ9QsZbG83xWV5b/vpFYEbmhZAxGCoyR8uQA2c4PyZqo01dUuBo8l2+n78wG7RVl2+jBSRkdMjrjOBnAp19R/DPwz8K7rSza6QdN1+/RB9qlvoMyuV6usMoyiZcDKjHQEsRmvXKx/E/hjS/F2hzaRq8Hm28nKsvDxOOjoezDJ/MgggkH5w+C/hGz1X4nXLXCz3Nnou64hmQgI0yyARbmRmXn5mAVyDs6soOfqeiiiiiq97Y2+oQLDdR+ZGsscwG4jDxusiHj0ZVPvjnipBBCtw9wsUYndFR5Ao3MqklQT1IBZiB23H1qSiiiiiiiiis+30PS7TWLvV4LCBNSu8Ce62ZkcBVULuPIXCL8o4yM4zk1oVn6nY3t35T2Orz2EkWSFWKOSOU8YEgZdxUY6IyEgnkHBHH603xA8L+Erm/i1zQ9YksYpLid73TZIHeNVZzgxy7SwwABtUepz1y9bsvjZc2/m2ep+GLR4UdvKsFctOccL+/RgDxgcqOeT6Y+m6r8erG3aK48P6bqDlywlupIFYDA+UeXKgxxnpnk89MZ9lf/HXWnkurWxj0uDULiN8zrGgtQq+W2I5izqhwGI2kkjK/eO7Q0r4D3OpXtvqPjvxNd6vPGm026SuwwHyF85zuKEZyAqnLHB4yfVNG8KeH/D2w6RotjZSLEIfOhgUSMgxwz43N0BOSckZPNakEENrbxW9vFHDBEgSOONQqooGAABwABxivnD49fD5tN1Q+LdMgkazvX/05UjUJby8APxzhznJI+9nJy4FeJ0UVYsbC81O8js7C0nu7qTOyGCMyO2AScKOTgAn8KuaJ4b1rxHceRo2l3d84dEcwxFljLHC726IDg8sQOD6VoeJfAPijwhbwXGu6TJawTuUjkEiSLuAzglGIBxkgHGcHHQ1zdFFFFFFbmh+I10K3uVTQtGvbiZGRbm/t2naIED7qM3l5BGQShPJByDiu40v4/8Ai/TLBbUWujXBDu7TSWrIzs7l2JEbKuSWPIUZ6nJJJ8rqxYQ29xqNtDeXX2S1klRJrjyzJ5SEgM+0ctgZOB1xXUfETQvD/h3VtNsPDuqQapCNPRrm7hmWQSTmSTcflJC8BcL2GM5JJPH0UUUUUUUVoaHrN54e1yy1ewfZdWkqypkkBsdVbBBKkZBGeQSK9z0D9pOEosfiPQ5FcISZ9OYMGbdwPLcjaNvU7zyOnPHOeMvj9rutebZ+Hov7IsWyvnZDXMi/MM7ukeQVOFyykcPXZ/s7eHNX0jS9W1LULGS3tNTS3ezdyAZVXzcnbnIHzKQSBkEEZFe2UUUUUUUUUUUUUUUUUVx/iPx1b+EfFul2GtGCDSdViZbe73EGGdGG4S54EZDx4YdCG3cHI2NY1z+z9DTWbSOC9sF2TXEyz4CWp5eZMK3mbV+baMbgDg5wDh+KviboPhewvJnmjuZ47KG8tYY50H2xZXZE8s5ywBTLEA4UgjPSvP8AX/j14Z1rwLqFiLLUotQ1CyntjCI1ZYnaLAJfcMpuYgEDPyklRxn1DRPHWg65oM+txXkdrp8DxpLPdSoiIzxxyYLbiAR5qoQTwwI+uhpviXQdZuGt9L1vTb6dULtHa3SSsFyBkhSTjJAz7itSiiiqeq6VY65pdxpmp20dzZ3CbJYn6MP5gg4II5BAIwRXyx45+CmveDrKTUoLiPVdPRwC1vC4lRdhZndACEQbSM7j26Z48zor6X0f47+DrHwW8kOl/wBm31vvEOi20eEYk5BWRUCBSWySQCPm4bjd5R4n+MnjHxFeTGHVJ9LsTL5kNtZP5ZjAGADIoDtwcnJwTzgYAHH6nrusa35X9rarfX/k58v7XcPLszjONxOM4HT0FZ9FFFFFFFFfRem/s36U+jMb/WtSGoSIWjK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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/jpeg": 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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mask = np.zeros((h, w, k))\n",
    "for i in range(k):\n",
    "    mask[:,:,i] = np.multiply(np.ones((h, w)), (assign==i))\n",
    "\n",
    "for i in range(k):\n",
    "    display_image(mask[:,:,i]*255.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/jpeg": 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w3emcEV0pyXoZe1/mMKWB25JGe7L1qA2Yccy5J/hNdM1lCy53jPuMGqNxaRpnliPpmtFKL0sV7aNrXMIaKrmO4+1FVY/cHJFW7hkWUNH0U5qwY4xCqoTheBmseaU2t7iX/VuOPenCDv7pcJp3QXJ2TZUnHUfSpFkAkKgZ3DOGGRQ8XmQLnIbquRyPrUcM4UbCSCP0rlqwsd1CtYshIXIDxZ9wcU+QQ7CuWUfmBULSyr5YEYKqCNy8g59aBOAwLJkdxWDTO6Na2oqw22WDsXUjGCKVo7Yvkqx9ARxUPnFmJ8sjv0p6yyfwxHHrVqMi54mDWrH4ReI4h+VSqsspBY8Dt0pqPIx5wPYCrqW7MMkHGOfamonm4jG/ZGLj7o5PrSvYG4CGM4ZT2q21rGZV+zEupAyH4OauQ2px2z3x2ptqCuedrNkQWPaqO4MmOWHaozaEnKj8h1rRWzAALqCVOQRx/wDrpLhljiLSuEGOg4rneIUXZbnRGN9EZb2+1uDh+2agke5RWWN8KTyvSornU1LlYIjj1JqqlwzsRu+frtzW8I1Lc0tDvjR90sw7HO2VnDZ7c1HKUkRh5mAOzDmoI58SEE9aZA5d5ARnAqvZK9zKomlcbEkKKQjSB94Ynscds1pRbmQMyYzwR6is1GYIDjndWkGbyx8hb0FNq+jOKUnexZin8oeWw3x9iOoqSS2E6ZiKuPTuPwqs4JT94dvHbpVQzspGCwBPytnr9Ky9lr7rFGakveXzJpYJo85DEehHI/DvS2kWJRIcggA4q5HfvASJMSI4BDMOR7VN/o9yw/cPkgYKNgik6s4rl7ilSbT5HoU7q53sFY8EE/lSeZII2+YorHhQaZfQCO5KqzfIqkhh39Kp7HYks5yfetKcdNxK0IpMsssYUDAxSRiOF8uMKDg7etVHhfYMsx5HU0Mkm0leDu6k8VpyR2uCrNO8Wat1ctOmFMu3sc5H/wBasyWM70kdlwHLHPHPSq25zK4MjHHv1qdVDqQ+WHoTms/qijs9DZ4jmg1bUI2Pl4Mp4GCM96mHzSFxnAA5rLCRefKuGGGJGDV6zVHhDHdx71tKNtTmqRcomhDLvUo5znp9aglhK5U89zT4ikXzhd7A8EmnbkkPXBzzkVKvbQ4uRxY212qUZlHzLg5pLmBTNCFAEY5IHHGe1Em6LaBI2AxH3QDUijzJE+Yk7CeRRKzVzemmpqUSfaUG1ACvbJxUbMcbg2SevqDUe8orEtwBnNRoxmTzCQpY4VevFOnqerCgt3uLJIEwu75s80xJPn3fe57Dk1JIm22Mbqu7OQ/eqjyhR875JrodO60NJUX9h7Fy+eMOwiJK9gaoicRQ7n3HJzw2BSiZJSFBHTpnrUF06bMMyj8aqFOySZjKKbs0W4pWkG6OVk+vzCrS3AxiVSAeA4+6ayIVATKE8j1qws7yRrDIThfu+1XGKlozGVK+xdB2nnhT0PWkdzv2dSOuKiin8tCW+ZTwfapAQse7IYA9cc1zzo2bZhJ3VnuKDtO5jz6CrCykruJx7Zqg7mMnJAXvVS4vPKU7TWlOndmfLJuxsGaIpuPzGoLe5Ek5gI2q1Y0F2x+tXBllEy9U54raUNDpg7aMn+xM8TK7qpQbVHcj1pIFUTKjEZY4qZ5A1tMBhGU4KdDWYiwwOJSpx13ZwT9K8Sb91o9WKjy873/4BYg09zcSSEMVDbfl61C1ukk8bpGsjL8uDxUgmjmLCISIxYMxU1K7lrvYQDGSG6c4HesnWnz3mZQglFpaDbdGjCwMpDJwQT0rTlJjs3OcADjFZkCBQ8qiRVL52tz19KvSrI9oq45fmuhu9mmefOpKMrGdHAx/iYHhuDz+daFvJORu3KVXoWPNNEQiQLI2WPVV6mpArkqijaBya29o76HNUmnrLctrfyKo6k4zjPT8aY+quBjaufcUkBgilVpVLjGCAcVBc26u7NHnaema19rJLU5OdXs0DahI+4FUDf3dgB/OoZFW4WN1Kl4m3Y2/pVZgyt1xn5ScZ4qSIbJVIG0dOvWodSe6Z30FDsTC2MwkTd87fMufWucu2liuShU+YG2le5rrHQGMMTtkHf0qG7gjuoRLImZV+UunUj3FZqvJu89TrVNpXiZFrdvEoy31rQhuTMrFY1fbyflrMkspWP7gh/boauWiSQWsifMsjDGef0pSajqzWMnJ2HPd46Rrz6VJE7ToWOFVe9ZYtSCkUkgYgdVOD+NXLdd0YXJCdTVx12KcbuyLkR+YbFyPU1pQF+hYMPUDFZQnMh8uED/Cp4kmgIJcn+Vb2SXmclfDxnZRdv1N9LdDCWJ2kjqOtWoDvGMdKyYZ5ppI4xks5wMVPeXywL9nt/mYD5ivNck4Nq27MJPkfIizfX6wKQmCwrkry6mnmJZiR161e+0bjmQfgaqTqr9OfpUUKUacttTspLYoXzG0jQkkAnnAyRUMM4lZCDxnAOKslXa3243kHGD16/5/KmW0G2QSPjI+6B2rvT0dzrt2JCP3p6Um1hKdp4I4PpTpVPns3b2peApOe1ZlVGnDzHIrbCWYuSRya0UdosHsAKzlLeRx/eHarjRuRkPx9MVEmeVUjfRizXoZ9rD5fWonlW4RlkYD+7gdKilgGMmTn3FRGFwvyncPpVJRa7FU+WGw9L0RRNFOrOAfkCjLVf0zUWiKHywV3cgnlazDC4cIQc4yxx39KtWUUbSHdxxjPeplGMvdOmFCTjzQ0NG5mWWed3GCzlRn2GaqRLEuQQS3XrSSHfMUPLdf8/lVmBQ20EK31FRfk0YlCnJOFVa+XQqysxBATaAe/Wo5AWQ5Vh3wD1rUaaIkxmIHHbPIqCQRE8EAHuRRdJ3uctTD0ofDL9DIbPmFwMEdhUscigfKNw6n61cMQHXDD1U4poihMgDpk4z7/wD16tVem5NopbplRomedioX5mxmn26lIMNtBbng/wCfSrUtsuz90yL7Ef160kccnlEEKceqCh1ejJdWFtxkf+qcYzllOO/+cU+Ndy8c9KACFxsU47CkHlbwuNrnpk5qPapO5zynGWkRLtgA3IPz06OTGwY7EfjSy6cs+XaeRSf7vFMkVbUCNFLbVDM5PU0QqQmuWJ00oe9cidiUYH7pGOT6VTExSQDJq0f9YV9RnH1qKSd47Q2+0bOxxzXTRsny9z2oJDvtL3DrHyPeriW8RBwqhyOGxWQzGJgwPvmrAvXGF53Hpx1r0qdKPLc9CGHXLddSGSTezKsYDLwSPWql1EXhIGT8w59cD/6/6VoNA8cbkKWkySQOvNOgtm2ZlGC7ZwRg4xXNNKGx59fV2iZ+myNhYZM5XIGfSthI0Lc1XltlCrhHycEbTz/KojPIJUcbdjHFRzKTutGcfstdJWZYulEVwApwGUH8e9MguPLfac4ap5ondg2MBcdMnihtNkn3FBsXAwWGMn1qZYmEWlNnFONpO5DdAyxnHXt71kTIxGOc1qRyMco+S69QBnIpvlKf9YMMeee3tXVBcstDSn8Rm2kDSkgEKV9a27UMuA5BGOajittjeYo2jGatw5k2spDkg5AGPwp1eU3qxhbRDs7wBAw2lgf3gx9cVnXstvb3Dn7IzMCcEsNo/Crom/01FLHYFDAEDFZt7byXClY0/eKxyPUfWvBnB8yT6nbFtRLunahI63HliNSy7XJTIwen8qghQYYj+BSM7ux4J/Oq+ko8ctwkmFJTHXODnIqxBEY5ZWeNUXBHDZ57nHbmsJx5LxJj08yeyYSx5kbLdM9uO9aD3AKnABOcKBWbaxq0B8xSNzHqcA+1X0CrjZCTgdQauNmzycR7s2+pJbxCNd74Mjcknt9KZKzJKAeQx608zqg+cMnqGH86aWjkYMHGAM8Vtc40n1ILhikwQKfXkVJHIWQg/e9qJQXkL7+MdCKjAw45XBzwB1rVT0OecG3oLNCPMG3O7HIpRCSpXHIHpT8LlTjDZwTmrKHJBABNZttO6OyjdWuVfMOxQeo/WoWuD8uUMbfmCfY1NeABiRwR2BqrOJFkO1xsOOCPzq7JpHZTqySaWxC6ygofNRWYHJI5JPpSwsHCtLIYnQ7i0n9KgvApgiAQffycUrREKuGOPQjP86xlRUkmzt9ppdbAxjdSFbcAD8/TOe9SSHG2GPv1xVeY7GHfKn8abBIRMC2SeOtdtCKjHmN6UU05M1reBYFBJ5q19oQHJAP41VDiRNoyM9DVHM7OQVIxxk9KipdnJWUpO52FoqiMzYAPY+nr/Sq12yxKcDFUF1IxRpE5+6oAZTwfeq1xe+apO7p3ry5xq+230PNd43XUq3F2Wd8KSfUUkU6RWajLGTHX0qSNbYxHd8zsfmP49KquY4GHly5Kn5Qep9q9OlytanfhotC3MkYYcnKj71Oto5Z43dBtVVJ5HXFUZTKGEjiMgKxHOexP86W31lYgY5EZQwIyOARXVO3KlE9CVem4pLc0L2GS0IWRCmVyGI4OOtRNIHh3owkTlQ6jAI/GrzXqXjiaQ+Z8pVU6YB6/5FMdra7wqptAOdqAKo/ACsEpJXj8ziqVFH40yvbljHg/3ga1ZF/dDjrVO3hV7gRJ823uK3lQCMAqcfTP/wCquevNRkkc+5kiJWLA846+1PgsgxB7nANSNlZiqjJJ9KbHLeRSsrxKo3DaQCeO9KpzNaMOZJ2exUucR3h+YhWyTk8ccVWE5ivvLWeLkZwFqxPIXCmSPEhZlC47dahKvJeRyCNQrINxwM1tCSW5108TGm77llCWulb5cEdQKljuEKYBdnU8EDk8+1RwAE7hyoB2k/X/AOvUSB4pBtVo3PfOQaJ8k5PmMeZzm5JFm5ny6PtPmNwce1VpQ3nho2xnsKtxPPDLl5A2QTtxx681qWltGsK7ow3H8QrkrVJU0rK4pUlKV2Ydzc+TDlxk98A1RGsRx6eHSIyTTM2SuDtAOO/rmtPXIt8MgCsAB3NcSY91s0a/eRsYzV4WTnH3jnxEY0EuRG2NZuShH2csvcHqPxFNj1lo+DloX6/3l69RVC1upoYTEH2oxBYYzmrFpZ71jQ/eYZGf896761Onypo4aFZynaS0N4XS3MCJBgserVcW0LqA2RgcvjOT7c/yrBjhe0lBThc8ex9Pauo0+WO5t8EcjqPQ14WIjKLVtj25U4uPMkVhI8eDlmGcE7RVe8O/cMdVxyK07q22xHfLtUdAKzJ1CyBASSVz+v8AhXZhUvitqedrGqrbFB3KyI47YB/KoJrhWb5e/SrDR78bWAw2WyKguSPOcIgX5cZFejD3me3HVIgjZZVCjqp6HtV6JPIcsFGccE9c+tZN0iQMjqAjgcFSck5q7b3TS4UozsAMheg+tdPtGo6bG3tbLlZdUryzHOR3qxDDJMP3cbtk9R0H50QRqg3uoZ+y54FV7vUZYp1jJxntWTTk9Dhr4tR2Ll3aS29pEzAjgqSB0yc1kSq7MudxAOAzdSa3rC93rtckg9Qef0NVzC9zcDIUKrfw8D/61YQjNN66HPTrRm25aCupWJgc5KDp/n61WEqkECWVSPVcirUzjpjgA9K5ua8YSMoPXjjvWKhzydzmqSvK5o3Q2yZz1HXGKcQSiSrkg9QeoqGSRplTcPmCjNTx7TaglXznOAcV10pO3obUU910LULAEFugqC5RwN2c7iSQnGKfbKpQNJ1PRT1pJmYMMNx3B6VvKXM7It1ouRDkMyF2GVOAemBVdpYjMWicsc4OT1FWZU23S7oyD1Hoahe5WaTy5IUX0KHmvMqTutEepRSklbsSWkYjmeIkLuBCE9z1xUpgMcjvPAyzurBi54/CnWphUCRw0jxH0Ax+dRanKAbhladQcZXGc5689sVx1FdkSWrsTJaSL5ayW7IVHzOx4weeD3qe2kVjgEAdPT/9dZ1nK0oBHmAtgYLZB9TUhJErsBjHKtnj3rJRlLRPU4pqzuy8ZRvIyR6c1BO6RNvZV3dDjgmokkCDz5AcfwjpuNQK3mOZ5zk9h2rvp05Pc4qijf3S9FOWTCxvxUUt7Ar43qzf3V61SlL3RCKxVKmgto41xEoPqW5rsVCKV3uYqEU9NS7bXksoI8nCjnOM/wAq0LRJZd2AG78dhVK0hO75sg/XirZBhkGD8rcH2rCa5dkVF8rs9CrdAGR1PUHiqk7ep9Mc1Ym+ZPlG75uKqTjzAeu1epUZ5qXrqjVe7K3QZL/q0AwTwfwFJczQlwElyQMYx3oUfv4wVONpA755pLgxlguwE5+hFOOtrnXTjfREEzh/KI55OaWNQzH7g2jOSaTbFu24YHry3FR74mXGAoI9a6YwdjpUJxRdZpFxkbsdqkWRHlRShcEZ24xzSWkHmQGSSVUU/dX1P9KtLJGAVw2F7+v41neK0e4ua6s0VxGZW2OoALY57UrWlnlHhJkOSAxJ4IFLKnmALtZMN9c1LD5UUMmCeeOB/Xt/9asqvLLYxqRhpJfcZMCKbkJJEzfMfpVlYA08rYChf0qncbopopdrffzljg96vQMp3YJPmAc5qpScZpvYuOsLLcyrqKXLS5CL2JqCFJnt/NL7oydvPH5etaV2Q1v5TDJXj64rITccRBcJnOPevTjVpuNmeS1Pmv1uSRSPbSgKSEJ6dv8A61aQ3R4lXJjY/MBSW1ok1kd+Dgnk9hVyzj3WxRx2x+VeZVqKFS6PXhBzpe8athPGI1GwbTzwK0XdWK4BA9+tYOms0bOhIBU5Oec1prM0swDIORWFWMeY8+b5H5EMuRcvhH+9j5TUckjLIGEmV96kkyLt2HfJqlck7uDzVwXNZMxq15JpxLEwSQK4yzLnacYxUBhXGACCepz2+lOt5MxYcnI4JpxXa4Iyyn0NDg4u3YunUcm7voKiqFO1cYXaB9OlXnRcRA+lU9ozuAOMVKZUZ0QoxOPvBuPy7UYiHNytHZgp2upD54ledRtz07+1aKTMkQGNvHcVmGQSyAhto45p0riOMuzvGo6nqDUypqTszqkk9BbtknBVphJnu3B+grmr7RnEpkj3gn+6ucj6V0azJN8rqiFehIxmntCWGQo45LGsYxdJ6HLXhKXQ4+1sbl8HegRTy4Tn8M1s2VqbRWuXO9tuPoK0WgZsZdT6Y4/Snx2xETI4XB7d609qnoYQoKnLmaKCBLlXQqUJODkYKsKntZDazRk9GGPr2/oakS3WLChiBuycDPPr+VI4+XC46jr1FJxUtOhr7VRbXQ1bieF4Ou5vY8isRnH237rBdvBYVPHcS+QQwQEEg5B/DBrOM3l3cTtuC7Gyc988VvSpKEWu5NlJD2BjkYg8GqbiR5/3f3h19DVuaYYDdM8HPapLRrYwSiZsOpx9a0pNpbHZSbtYx7qF5H3t/wAs+T+VXbWIR28RB4c7m56+lWJ41mYBRhWxx7UkkQSQRgsoPynHUcGtZzvFIitU97l69R7XTeZjcMDrT7y3F8sc3WZPT+IVF/ZkvlF1lzjqH6/hinWrgfIWIYdVI5pU52e5lOlGrG1gs8vcLHGCW9AK1SFtoiMjdySew9P61We4MAGD8zce9VlmMxZEySeozVNq1jOnhWtWJKQ+4c96xGs2+1byPlzmtp+AM4+bJYE96Iozu2CMs3UHPAHvXPNuPwjlQXPd7EVtbmdjuyA3B9qvNZFYNisXAHX/AD0qWNMABSB6HsTQLhkcjbyDyAaxcqkdtjlrylB2i7IzWjk4C53KelOjjllIV4yfqKvOYphuUYcdjwaq3UqBQASMdSPWuujU5lsZw98jjHn2xI4fb0P8qqx2M80geKMkDvir9sixyGSbOAMn3onuZH4wQvYDpWdOHNJ22PcpNqPMupEsU1uk2+I/Oc8+1V5llmu2ySiuhIdxgZPWpXmlgjLxseOWUnIx9Kh+2GQ7gd3OSKU6C6amtnuLZo0AQoMDJUOrZBH+TV7ZbhTvYNg544GaqMyFmkiK42dAOQaQOSMIXAxwARmuRUlGV9jkxF5aEk6GdhtKnH8IPQVXnUFfKTORVgBo4/MIw5OBSwQF/nIznhc967Kc7e8efUpu1kV4oiFA6AdT3NWduxBI2ApOAB1qd4RbnafmI5IzyTVOfJBfaVPuK19rd3Mfg0RpWdyGbDdPp1qSdwHU/wANZ1mflzkDipnfAALdO/XNYylztmkvf06hKRj6nmqEjAQ4HHII/OrMjblbJxjGDjvVObcEc4yBxwKiCdjWDvo+hMGInTYW6cAVQmZlmbA5z/EavRMu6J9xHHrVbUkYsCg2fWtYbnTh31K4O6bJVgM4Jz/KgrbB8iR8g8nHFKoxCsajBJ5GOpp7n7O/l5UEdcDmuhz5dDude61JpGYIuxcoeaerMVBjypYYGeRTVUS2+YpAxzhlPB+tRiYRMI/mDqwwAOlY/E9DBuK1bLNvPbiRgHLO7ZJzkfh6VMYllbAkXJ9c1nywhlDImwjowOT+NSW87GMI3AB5bHINRKUoP1OaaU1dMfqcHkOy3EiGTP3U6fhWfFdNbERt+BNOunEU7MMkk7iT3pqIssbNKeSQSwHIH0q1FSgr7iVRxloSSOLj+LH1ojsweZJcDuOmapm2kADJnBNWksbhWXzNxVgKjlcdLnVCVKT5mtS8JA4W3hUKnfHatmKAC3+6RgdNtU7O0WFPuBkPUitFWJXbHISB2J6Vz1PeZc6yasjOgERujvXnPDGtKI5lDDr6VmRuDmRdpwSOetXI2DRZBxwPwqqiskzy8Q/fsSygmTdnqTxULWxYM2OnNH2liSCpC5IU7s5A7k+tSiZ1RtrEhlKkHng1cezOGrCSM2BMXTqQfnHXPp/k0glaGTawDIe3cVOFImRgCCOme9ONuZicAfLySTgfStXJPc1p3lYmXaFHzYBxtzUuIUjDRAYIxk8YNZ8/mhBIBgqDgj7vHX+dTR7TArL95huOeg+lKEV12PXowpwSbEiV7gFlZwFGCFUHn6f1pX8+FTuXzVB+tT2kOQfLYnfz7EVMwdUbKHI9KxnUSk1EylUipNRMVrrayknn37VMbthD5gmK7M5Hrxkcdqjnt0knJO7nkVSZmhkJdixzjBHQV0XhJbHTFKcbX1NaGbzmDO4IIycHGRV4m3GSgfPTdurBikUjgbFx0rTSd2iVR8wA/u8D3zXNOmr6HPO8NWrlsToeHwB7daJGt2PDk59aqIY3zhgcj06GrKQgv88RCjviklGGrM3Vgldoo3O1htjdvoxqpsEqNuYjaSrBvX1Fad0jsMo6Iv8AtVmtgZUSxt6jbgV0RnzJdiKcJS969l2EGwIADvAJAG3APpzTFlAY5KfPk7APSob0l3dg4MfGEXjkUllKTcpIvzHdtIbqBW8Jq10erTcIKzNIFzJkqFUcDj0pk77ZVmJIUkEkdjipFImQ7FcAZBJPFLtDqEIzWU3rexy1HFTv3J0ubYQ7iwkYcrhqyLi4Hnu6jaCe1PmtgjGOL5T3Y9Ki+zqFBSRmHTccGqhTT1NaU1BcyWjL1k32qBvNwkQBO4n34xVcyQo+y2cZzxwQBn3pl5PKbJUQHO3acDsDWHOtxDtaIkoe49auEU3c64rkp87+42ZJ7uBQzIroOu3kgVbhu1mg3rk4IxgkYPfNVLKG5e2SSUgluShbkL61BGptb8hSQr9vSiUVNNW1RhW5ZrmidJHdeaQkSBmbvjpUrWoYFWLNIOrHqKz7KZoyYHII9avvdMseFdQAMbmrnnB7RPJm03ZkTNHACJmAA6May2BcOgbc3JGO/oasys0mSZFlHcY5FZbrO10I1mdAeVKnBxWlK8dHuTFQjrE07nIUEdDULsHEbIuGAw3fNSyHfuj9eRmqkvmeWFwd2cVphr8tj3aMLpXInnZZ/LKMVPHNEkcdsSxcBj0SlLyGUK/JTljjt9ajmEUr/M4JY5P5Vs6VtjrUFuyQyq8AKHBHUjvU0McbsGdgme+OtQIiBDCpBbaQOelPiYFNrr8w9a4KsU3ojjrxa2W5aUrJNtRiVHStCyA3+Y2NqcD3NZ9svzM2McdMdKuLLtRUTIAPJpS7HkVtJWQ+T5mJJwT14qvNCWTdznP1xU4mUD5uec4xVkPb7dqJhm5J61Dnqcji09TNtImRiCc9smmSMc8j8q0Q4i8xAgbJGKzJyu1ucEUlJ8xqvd1I94YMMZGO1JNFuiYbuMdKbGgZgpY4PGaqOtzLs4KBZCpycVb12Y4yl6l6CP5cAgDccc9PSh4Ihn5mJ6565qgBcQsXLElGACkcZ79KtCXY+09zxihprVM0UmlbYEG2dSScdQDVW+gMd46Hv82fXNXCh8xSFPHrVxhHJHtkAYdm7inz6nRzIybOPBCk8yAqP5/0rch05GLMyjLDdUFpZx/aVEe4gclsY/CuiEcbxAOOQOCDgirUrM5MXJyjaJzbWwjfk/Ow4HTbUAj8u4KlflYc8VtTxJHJhWUlu7c1QuNgki2upZGB6Y4FbVrTiZ4ZzUXcyp7TfIqOORipHttiKCM46mrM0mHjdgNxYip3uI2G3y4wTxnJz6VhRUmro65NNK69SGCGO4BPqME9MVoW+5YghUMV4xVWKPYqvGcMc9O9W45FkGNu092U805+8rGM1yvTYkwsbAkhCe3b86VgH52EEHkinqRKViOApIBz3q1NaNHCpjAAC8DPHSsJ2jZdTOpWa0vqzHO7zZANmMelQHfGrMOpAGcYq9Iq7d0kWCfQ1mgjzCqsAAcgEdcVs3bQ0pyvJXGbpGuHWIgE8YP8NSteSxEiVFyCQGHGfwqg02LyQ9MnNOkZ5lwzlhnnFFldJhOPveRoR3lvKCclfUAcD6irduUAdt4aJhzzWIYPKUP2653Zx+VKglj/AHsbsq/3W5BolS8zPlT+E6KK3hlsyuPL45jD8fryagAEFoFkzjftXAz1qhFczggjDA8ZxnH1q2zxyoJQo3ggYIz0/lUSptLViXOm1LYkJZCCFyAOAKiGqKY0QwNhjjOeM9xV2S9QxBJFXZ0OKiltEALOh2kfKU4KiovF/EjaEo8tpICITHlVG7PJrOS382Xa3TBJP4//AFxV4qu0lCz/AEpkIRJCzkgeuO+Kzaai3Hc3jNR0MuW3e3mzCrHnoRxVqO589cL/AKwcbDxVuRFZ8RJ8x53Z/rVC4g2tvhOHHXHerhUTdpEuXNEtRPG52SYWToeOPwqx56LG0MJbPQ5OcVlxlZSFmBVs4GelTsCnyqOB0VR1+tbumpas5rq/vdBbiPcrO8jNj1Ocn0rPnYxEgLk5/AVeBZvlxz16YptxGgidwvQcZ70N20H7foiihaWLdLjc2cD2FXFtsIAqYVVGMD9ahto2ZhjkrWjEm7hwfwrKc7aI6eeSQloTmXLg8ZwOtKWWGVkIJKgj0JNIYY1LbMlj1J4qrqKuxMq53qByDitaU72UgdpNTRnandPEVVT8wIJ9cehqkiC9iUMxSRc8irkp+0RqDtJXCAc7ie5z+VIiRWdpI5+Zmb5T6evFdyfKtDvpP2pbulZbOJIySFGGJ5P1qhFIYFAl24YcAnP61ftJkuIyjg46cdjVS4swWSBCQpGS5PWpopSk4nZHk2lsbunRrcQu5TgHaPTgZ4/Osu8UNdBlAPQVo6bCmm6HuMrM8rFhkYwCAP8A69ZyjzJEZyAucnIz9KxX8SX3HLKEacWo7XF83bMh4BHBA9KvtAJU8w8gYHPaspm3TPgnAPBJyPwrasLqONMSDcjDmr6po8HFKV24ixw5yCwyACBVK6j2XCkDoa0nv7ZSyW8G5mHOef1rNuZS7g8A+1bVIqSujmoKotJEsiFpMAnKjPAqG7me4jCpndjHy9as8PcupHDLVS8iJKmP5Y42HTgms8IfZ4ZLRsqPNFEjAgliNrY6is6eYKPlXcM8Z44q1c8MeCnOQWPNV2CnMIPm7R17V3zknHU7HJWJY5VRwfvgjOPetGKVZTuI9jzWfHahwoUMoHygZz+NPgXaQryYKseBXm1Yp6o4MRO26N6MFLcr/E55+lSKOUwOp9etVEkJZcNhdvGKv2wJRST0OTmuGeu541SCVS7I2jYgnb09akBPmRqCvPtQxb5wMc+9IqESoWUHkVzqT2OdxTk7j5NyzOpA4PUGsadZGlI7Z7d62biICaUlce4rOaPEgLA4PanCbvct07xsisWEUaSHJGSCcUvmyMpCqu0tyx9O9SuG8pthxu6EDpQib4WODnNdCknuCoysRAFiSblOXLEYyKebdHO4EEg5yPWljhjAbEYUAdu9WUVEVdvTH40SfYHT0s2M8t2I+7z2oWIjA+ZT6mpUuG3qgzk9iakcAsVcbcetJSa3R0xjFrlLllB5a/KoZiOWz1q6WYxAICx9Dx+tULZlLAAM+P7vFaSQl42PIXHK4qJTtuROlaxn3MfzoSg6gH2zVOSFBGD5Khsn5s81sSW4aP5flA7+lZExaSUQoGYk8ZNXGtzLQJR5I2S3Kd1b71gA65yBThEoZHMW51PHHQ/SriqJUix1BOD+JFWpbcxqJAcMBnNRGo4r5lOCsQQwBSrv154PQZpZ7cInmfdI6MvX/wCvVyNO7nn0xwar3U4hG7gj+73FCqNy0MeVt3ZVSdZRiT76/dYVct7tpImjkflj1wBkdKwZrpWk8wHae4xU0d2LhcuAAOnODXZyKotTirU2a84+ThiMVkxITKVLKevanx35kPlgb0HGcVMi/vAy7T6juK5qnu6GtC+zKQ0vdegk8MPSs+43Q3LIiMu04BRsA10LSBJ492706ZB/Gsy6Qm4fb1LGrp3+12OpRTTbMe5vHGATk96SG/nH3Vcj3PFSrZGa9PGQB1qW6gEK7GUnHbOKUqvvcsRxpWjdiwasUbLR7T/eFalvqULODJyAOCvHPvWCbIEfKSpPcf1HeoWWa3cBhj0OOKcaqbsS436HYQqGbzJMOzDO4DgClS4Yt5THah43A5H4Vz9pqLw/I+Sh+8p7VryXEdzEAmFiUde4qpQjJGUl1LEwA+WFct2GcZqAXbwgoYl99xzTY5RNEYw2NvIccbqQhmGcE571VKKfusIxUk02TI3noctsJGeO1I8ATJ3qfeqxO04A+bPQtigSOjYIZSfU1oqHY3hQnYScHadg3ZHSoorwlcMwLL2PeppZnAIVlGepPSsy6AkkJiO6RepWs+Zwk4y2M50k3bqdBavDc4KttfptJp93CuBGP4ucewrDsp/4T9/0NadvJKXWVHIHKgN12/5zSnFboyVOw+G3MbBx070sbyebsIATnn3qylzGw2SKFbpj1qJ1DSYGcfWuKalq2TOTZErRKxJcDJIGajnUTx74DvI6gd6YRtkK7ctuBx36YNPgdomcuu3kbRVU3JvUilWlFmXJbqWywOAc4HHNR3Ft5wTbIMA4IPGB3rYkeOQ5ZATVGQNGrPHgY9s4rtUpJanoUqqvaLsRaZb/AGPeZiSD90CrIdCAShzu+p+lZ63U8qAtM+cndyeR6Ypq3MqYz36gVpaz5pP7jpVZao1LiWabDzII4l4VFGAPwqs8qhg6kj3ByPy7VXW8MTllDFscc8Vb06ze7lLNyBy2O9U3GMdDKpVutR4smeDzgQvfGOpql5kkMnOVPde1dSLdY4xxuUdMVk3sMcpKKMseuB0rnhX1MvZKSK0d2XUrvMfToKQKVjZnY5bp3zioI4mjl2Pw3Y1cNsuzzGcsx7ntXX7VOyZnHDvV2J2yJFIHPQ0Xkgjj8oMAMZLY6mpcjk5GTjNVbiI3CErlWHp3pU00ro9ahO0U2YtwZZJMsFLEdQeBRHIkZI2EysAOnFLNppUgk+/BNXobdo1G0biF3LmrqVElqzR17vQrRxbCrAOx252n1p8cZeZSwO4nkYq60DxqjkhXBzwMGlijHm75GO4j7x7VhUk1FmNaukkTHiNSCCvQnpV6LBiIyMgDNZ8ixlRj+8OO1XIG2b/Q8ZzXByux51eSnsNJRGwsRLE8c1bW4lIVGKgDHAHSqzuVXeD8ucZ9KSNghHQnJ/Gs3f5mF9C3dXClmJYEEdKpNfLJJhsjHQEDHSnTkGPfkDK1nFcsfmGOwxWkYpblRlZl/wAxFj4jAHQHGah+2oB1BPTGKp75IsCTJXOcgcVQWbfdOcjDNke1bxp850Rp8+lzUa5xuwmB60x52PQ8Ac8U2Ly2O1z1IxtHT1q4UiYbTnK/3eOKqVPlZU6Cj8RFasSSxIOBWmirt3yRFye9UlRECpGAA3fvVqKYRoY1BZ/Vqlq60ME+SWhahk8oZGCD3H8qux36BGUtk4+tcxc3h3lWbc3tTob941wsQ6YrlnSfzN4+/qzqftUYt3QDncRWQlnBbytKvmEklj83I9arrfXbZ+RVz1p3215JVSRRn9DWdOnKF2XVTUbtEsAMc8cZB+5n8c5rSvAxtWJXHyHmsW4u2a9QgYIOKvm78yMo0gBxjHrWrjNJOxnKpHpuWZ2McILREgDqprEkdrmYr97H6Vo3N3mLYGzx071UtgsMDyDqxqIvkTdtS2lypdyrJpmE3uBn1B5rKuYZLf50OV/nV64u3kYkuwA6YNVhOTnPzKfvVrCc07vYzqcjXL1H29yrIuF3dig/rV9WJ+XHuAe1Y0sXkTb0OUccVpWDwyRB5GCgd8nNdMoqZzxik7lm5lkjtnk83cMZAX+VVgxYxuVPzt09KuzC2e2Pl4GT/EetZysDsPdH/SqcbROyME47dS5ZRD7Y4IPTuQT+lWp7NJQrFAcEDp61XizFfKTgIwyOMVsRIssbxk4OcqfftXmRT5mmZ4u6SaMT+zllm2IFGOPSmSWCwbopG81mHy+xz/KtaSJo2Y+Xh+5J/wAKzru4EUTAnc5PJHOKr2dSc/c2OHDyqJ3k7nPX1s9rMQOQOvtS2U5DBG+aM9jWhcW/2hwzE8jNUXs2gYkcgHGOmK7oNrQ6Gna7NhJgBzjp1AA4qRpUeNdhywHIrNiZZ02sfnUcc43UlpOxUFo9hDFcd+K6FTVVc0d0R7NxfMjQDB3weD0+b/GlktWK7o+R/stTVljY4bnHtyKuRGPZ8kgyc5Wk5uCO+jKSWhQd/Ltj567sHAHQkmo7V0XcDDsDVo3VsLhfl2+Ypzgnk0+zsDcDYiEkAEjHSuPEVbq6R0KFNrme5hXsLQuJo+mcnFXLXVFkhJmA+UcOOv0Iq7fxpa/I6hvVc81zsls8TSS2xDp12Ecj14rXBzhUXJU+84cXFxXPDc6NHS5hEgIwRke1TxkbcNg8elcd/aNzJdLJ5m1ywG1Rjj0I71pvqM8cxAbOwgkHHQ9q1xGXuC0ldHDTtWVtmb7orrkdfaozEjkcDtye3rUcd1C8aSxN8zcFakd8nfDjA+8ccVxRjJPlY3SqNXSGC2Yuu0btrZ24pyw7IwpT5gOR1xU0Milt8J/efxKanYpKvlocd3Perk5rQrDpKd2zkLuIw3TGMMoY5wKbErSBi54UE/M3LH0rpLm3j2E46Dr3rLWx3RPnqDkEVvCpdXZ2VI62RVWzja42yOwH5V0mnCKJQka4A9DyKy0RoiCcZHUHoavRFSoePhh2z0qKt2rx2JUdLM1pGBjyeQf4h1rPlRYck4xnJamm++UyD7/Q+9QDMuHmyVJ+VR/Ws0ktWOmpbFK72SgshyRyGHf2p0MyvANySMe4UVaNp5khYgBSMYFV7dfKmeB+hB/MVtGcXF+RpJyRYWIMzbgM9gGwaA6xo6hSHPAzTomJKyKMluGU0ShQxJJC9SOtUqkovuYOpJPlKF6FRUjPzbhk84qeIyBFAVMABRu4/Ks+5fzrkMAQo4GT1q+7KH256tkEelPFRvy23N6fMosWaQpaOHxuwc7SMn8aijKXADOAGAHRqW8RUs5ABjJwBis4b0ljAYjCnOOprPWcbt6k4uPKtDUSJS+3eWbknjpVmCNVVmCgnnJ245qhpyFI5CWbJzkk+tacCfIQpzn04zULm1TZ5ylcW33hSG5DevSleHygXYBQRgVLsZEB80emMZprAhQTIST19KjkblcFJLVmdMqzcE4HYdKovG8U6gE7cd61JWK5DgYI7iqcjIUOSd46ACnaadmbRlzbFecb4nHAOP1rIt5cAFsA9613Du/yRjjrmkTTZm++yIueQBzXXQXLHU9DDvlV2RRz7MgMckdPWrMayTcjCKRg4PNOS0tIDwCzZAJJ4pstyirhc8DgL/jWj952iXOvF9C4uyFB+9Bk7EiobiZ5yYQuT3b0p7TSQWe1lRWcdQN2frVRZvJiLYyx7g1hPReZwU17WbfQSTy7VQZCHk9qg/tCQ8blRewqu8UtwxcthB1P9KjhjXzfmysfTgZNRCCfxPU1qV1BWii99ulU7lkz9OKlh1Pc438tTTahSieWQHGVboRVWa2MDbhxzhvb3pzokwxLqKz2NmSQeWsu0BQuOeef/wBRqJbuIRK/kruPVqi4WwOV3bMMAWz1xTJ2QQInlKvyg53cmtYQU427EynCK03uSG9UvhX3D+6e30q3bzeYjoRxjIGetYIjJ6kY9DV+3E1q+Tl1HfOR+dctammtDWnFtlma13orKu5c9B3HWmPbAzZSMorEAL3Aq3BcRnMYxtY9Gq9DZRZEsku0DkLjGaxlVahyNHKqTVTmuZBti9u6MMNGapwu0Lvj7p5K4610Vx5bscdCvbvXPTpiSQqegyDW1CTktd0XL3XcmzCMMFZn9xwPanyQSRxKWjCKRlSDnvUaSAp85XNTKySZzKcAYwtdd1ax1KfRFyLFxCi8+aOh7CrMTyISnHPPPeqlhKFBjdgFJ6Ac/lV5omdOBtbqp6/pXBUhZ3RckpKzILmKVlPzhPYtmqMkKphQeqg5Pc1rRRIYn8xAxJ79qr3MaB49pbHQ5qoV2k0cvsUmVZd6SRuDtG0cA9eO1ZcsrNM6iCUnIOQ3TH4V1Fxar5Suq5CHp7Vh61ZMJt6g7CvOOxqsLUUviZnipRjpGJjFzDcZAIUirdnJFPcKkw5B4YdcVSkikS1VDlm35GR0GauC1ICTL0z+VbzfK3KmwoybjyyNqSwQEsABGOjPT4LRTA24AkHK8feFWbOUS26PtUkcEN0zVkWhcbnfB7KBxXH7epJ2l0NbuD90owwxSOFGSo+8Sfu1baV7ONkgldVcYKHqfQiomIgk2uuM/rTXJVSy4eQ8DP8AD9KppSR0Qqcz1MW8GHPmM7Of4R/U1Ei8KGwqk4BYn+dak8KKrA8yN95j2qg0e1CMnHUAc1vSUXGzOipTb1WrKd0rws7QRp5g6kn17j8f5is+MS7y8mck8nPFbTKrL5oJwRsPuO/6VEVRSxxjBx+PtWynNJRMFhowvJkFvI0LDeCY27rXS2rboFWMKI/YVz0pVFBHKMueRitLTLjy0CA8HkZrnxUXD3i6dpxs+hanTy33QsVc/wAPY06O7UHaRtcfeT+9UxCwnecGR+nOeKzL2Ikbx8rdQM8/lWMJe0VjlqqMZXRdLfaWy7YHaP1pxBQhtuFPc+lZVpel38qU4Pr71poBIjrJyV6e4puUqUrMuFprQiLhhtQBzxnb0A96rrJ9mm+9lO31q6GGDGFw3TFUpYt0gRsFwMg/St4tNvsWoNxuiYpukWUglD29KtonzhjgqeDnsabYAOCsn4ZqY4gkKNyCOK4qk3GfKzTlXJcsBS6hYzgehGaxr9XgvclT/Krz3ohxulCZ4wP0rI1J/NmQ7t2R1rpoQald9TinWWy6GjCC0mxSFJ6E9qJ4mHEj53cEg0y22y7d+Qw4B6VNdRr5ZKy9v4qtu0tTKcnz2Rjbcu3GRmrcohEcZTzc5ALMRj396hV0jily249iOBT5SGtLc4wc8jrzW073v0OuhPXl7kuqOogSNe3JrOhHnagATgbasXeDxlz8oUBeTn6VBEmzUExuxjHzDH6VlTjywDGytG3Y2I1WLI+X6jv+FW3l/cqY1Wqw8vd82SfrUi/vG2qhP0rl5tTw5VHzcqKrzyhulSJLI5/doCffirDxR2wMjuoPqxxinRqZFMm8BevHeu2E1bU6KdK7u3oVXgkOPPlKf7A5qL7NCrAjlh3I5xVwDe4cKXZTnFV38xYwWKMfM4A6j2NW533O2K5ILlFUhcKiAA5OSPSoJZDsLISBnr1q26AoArjcM4H1rNM4giaOckqHJ461kmtyVU53aIiKZNu85GMkVN9miKoiqVJBBzz3qSGW2mTfEwPYDpj606NSr/P1zuIxjj61Lk3toZpuRm3AcyiHzQ/PpjimEebIEXqTwPYU5j/prMBnAPFFiCtyjMCM8cjNbVHy6m1Fe7yrqaf2DECKq4QfeyOfrVabSyJCyjCtz7VuxfPHsVCRjHFNjkKOUI5HXvXlynUhLniaSpKUXFlC2s0jj8yR9+0YVQepqldQMzOWI3YyF9BXV7UMO4qCcf3cVjXWDOT5YAwR81dOGxEpy94mNKKWhjWYLWFxERznio543couCNqqKWE/NOo75H41bm84R73VPK+6MHng9T+X612RSU356kypacxQSMpc7VXO3gH0rWR0EQQptz3Tv9RUUcQJJGAxO7npzU8aNESxGJG4X0qJcrk4s6qUJcqZXktCGO3AYc47VLbXpX5JjkA456irghEkX+2Oh9azL2EkeYo6cNWEo2fK9h1ad1zLdF1bgtLtCl8AgFeDis6cM05XaVyMcnNW7WV2gPl8HGCBSm0kF1zyARyDmtKdotHBUbaMcSRLIwkVmOM+mKdFNEZRsb8Cc4/GlvbXFwy5Iyeo71UETYJSNdvQZ6mteZNWSCOjuzahdIpBKvPPJxzW1HMjKCqhmPQ1xcdzIpIBJHdT1Fb2mTxyD94dsnoO1c9SNtTsVTmWpsPJKh2tGqsehzUN5uktwQQzockKKSVRJhVZjjnO6pgxji2MoAxyB3rFqLem5mpq9iS0l8+Ec5OPmFR3ds5GMN7Mvp75qqkq27lkYFDyVHarTXUs6fuSHz0BPSuWUZ05abDqQU0pGJc2YGWJy/p6VatIFa3EWPlZSAffrUzQMGzIQJAfzzTYx5ewCNj854BxXoUotQu9TF6vQjsX8uZ4j/EoOPWtqFjJHnzFT0LZ5FYco8q/j4K5OBmtDTrqJXkWQhQOmf5VNelyvmRn7W69CxewK9udrB36g1nW+8xb3BWVeB/tVfvb1fLKwRYY9GrOgs75rne+cDjLHrWKlpYKVf3kyu0qSy/vCVVcnj+L2qpJcS3LMqxrEo7dz/SrV2rKZTtCEDt61nKGZHc5yV4+orropNHrxqpNMkhhd4HhZGXn5ScHj8KrvEzfu5kkWQddqZz7irDTrEUU8My9R61Zy7/PggkfeWuqLvY3ko1NJbMzRbmXEYV1jQdX68/yq7p0ZiVoyDvRvxq0khYFB5ZfbtyeuKY0eRuU5kXHOcZrDEJzi4nK0oSsticThndiQdgOBjHP0rKvZnCJNwQ43DIyMVPIh3rKHII64HWl8uGWNVGGU8+wrlw7VN6nl4yE5P3GZvnxyxpKGHmIcPitayuy5IzzjH1rHvYIoXiieZkiZs4AHzd+tXolRX86JtwbnArevaqtCMLz05e8a0jyr02BPXNVZXIZHUg4PapQiTx7gx9x3qs+zlGC4HviinZRsz3qLhKOhbR/ImLDAU8lvSrzItzDu+YKwxk9vesVJEhGcrwc8dq0bGXdHs3MQOwPasq9BT1W5hVhZNRYz7MJH2TR7mXGCO/pVa7hDSrjAI6YOcVdeVGfZsKn1zmqskY3DnnPXPrWseaO54tSny63J7ddqnIBAORTbl2SPIUr9O1S7fkBGF45PWo7p0e3wM5A9etZ05q9nqEKnvtmW6tImGYZJqaNg2I2lQeXwcgilSF3tg+CC3TIp9v5iyzDyCSBljj+ddLmpe6uh20Xe8rbFOUqGY70xu/nQqsJgyKcscKG9KgnaaO0wCiu7nryPSpR9oRkZ1DSM2cp0HGKia3SDGe8rmvFHgBnOST271YEm2JkjG1iDtK1SDOI8jqBnmrdqrS4B5Ga4ebl1PHj+7d3qUbew1Ccl70+YmeBnoK0YE2nYFKqOpI6VdXdCwJbheeasApOC2wZzzirVdy+I64YlbyRUmt2lt9yfezypOM1QdVQs7xMHzz7Cti7CHKDgGs14csFLbs9BmuiFTQ2VTmhyozESVpPNmLIueEU8fiarX1sZQCAMDsO1bFyu2GMquBkHk9aqsW/hQEHkA84ohG/vdTtw9SChroUkg2KpThu/wBKsyyTxiMNLEquQADwcVIiOAWdSWOCT1/yKrahvkVHCrlc8E4/KrpwbmvI5cTUjKV4mfc/LPKVbcM43KMdacitFGrAOFB6k5qaGAywSkjk8j604CPymEjMGOMDHFbzSmKnJxNyymWSJcE++OtXPLOf3S5J9etc9bmW0cAnGeVz6VrwaihUBjtNcMqdtGdq9/VF6R5khI8xVJ9/asa5cqfnYMzHOcdqnu7pWGyMksegU5rJnlLSGP8AiK4yKdKmk7iq2jGyH2Fr57M4QcknH6066t/Lt1AjAJU81ctHEDEKyhdvf1pL64Ro4jvDYODQ6jdS5Kdo2I4fuxue4GKumFnAYACslZiluoXkqxx7jtVqO9uhwdg9qpq0+Y7aElyl1B5bKTwrfoar3IJ3cFgcjgcCgyTumSoIx2qOXieNmztbgitJpSQpyg3oVrTck7pxg8j6GtK2QySO3mdjwCKzkX/SHUdVzgetS2UyJOwaJwCOue9ZNOSsedVjytkepQbQH3cnmqsFsu1AwDAISFzjmrWqTI8W2IPkEjnntVGTzFXIHGOmcelddOyRhH+8RTWh+9g+ZjOP6U22kJkyPvr+tWYbpVGyUYUnH3t1Q3aCKYTxc9zWdSK2OmnaS0OitrtPJCsoEhHfrUiny1InxJn7o9KydPHnRl4wzS46j+H8K1YH+UbgA4+8DXJL3XYy3bK11btEQZBhW6Y6Cq/2iSAkquM9D1FabyCNW8zbISMjHSsqS4RITu3ZPRcdK6ox5ktLo0hdrQkM0jv85VlHJANLI9r5Yd5ZUVTnAOeaqecJICwjyBxu4Hp/jSFC1p+NbKGl72CrSSip3Jrye2EqASHeDx6GnQuyXexguH/WqEwMsyDdtwAeBzU/mHfbMQQw4Oe/pVvDJ03rf1PGlX/ectjoLQNICYti44OBirqrIgH3Rj1rNsJB8zEMVb+7Vh5otw4fB7GvGqUrppApWqWKup2wKMwYZkbnHY1lyoEQYA+U4HvWzdMr27BI3zjI71mSoTFgZ6ZFXhZNLlke1hp3TuZjKsrkN95TxVxHMSRY5jIwcdqplNs2STgEVaadSmdu0ivT8kdsZNxGyoXkyoyOgK88U5JX81EC7kxjcDxV8ahE1v5R2q2CABWXI5LnDgMDj2NZpuV7qxlGT2kWigKsrdM460wIkY2oCFHamxtu+YHcRwTngVJtOBt49OMisXFp6HPVUb3K89sJhk846U2KAxKFjHA4wKs4lGcBSM9qZIrg5wRg5yDTML66DklIKshye4AqK+TcolT7rAZHpTA7oQoDAE8tU6fPkbcoewOcUJ8rujroS6GfBKUO08oTyDV6zl2SKQx2/dP0qO4tkiUOgI/vDOahDESAqeB054P4VrpNXR0826Zvq3HCIzN0ZqrltsiuVXOepFJYygjBPJzg+lTTrjGRyD09azT7nn4qkuiI7SRXmljJHy0tzGgRj5bZzxzxVJy1rf8AmEERuOcdqlkuorjhGDf7MZJz9RXTTpUeXmPIm5RnaJcl4tAgOSADVFJG23GXUrjgZ5qS4laO3YspB24weKzxPt01XPDZxmuenS5qlonoUZuMdRs4EiohAPzd60jFh2ZkQc8EfSubnvSzoFPAPUVuwxSGBWLklucGjEUnTlqFWtTlFK5fSPnGMrgc1oRpHGANoUZHfrVJHXy8O+AT1qWZwwXaHPI53D/CuRU7vU56bjUTkia+mVDhV46DAqWyuCYipBwOaiIEk4R4sL9aB9xgpwccDPehQvoEqTvYs3SAxLI5JOeh44qkyc5IJ56CrhWZx9wkcAFqqyoUBDuq/wDAua6aVNdDeEXEguN5VQEwAT96q3AI3MBj04p1zKkW7GDgZP8AOqM2ZVdA53EfwjNdEqTS0LVuxZMhlcAMdrAkY71DctkYOcKpOCMU62t444EieZxtXG4dapzvBD56hmYBQCSfcVrSdtDF09blxBstxxzgfyzSRBfMztG8e2arLqIwo8tjnkY60ou493HB7g9RWCbindHo04020mapt/PhO9cDuW6msyTfFIFVsr0BPOKvwXIlT5nwPTuaqzOgc7SSfTHNYzfYqcVEqm8VPmjRg57qaLb5XLHqTkn0qM2TeSZCDjsKIn8uMc8Gi9/dRyzbS5mbYFmYcmVjIACRj1rOvfLKALke5pI7iPlZo8gjGUOKhu3UqXClVxwDWsoRaTRhGpK9hBJi0aJuHB4NMjnJiJJI2jn61NHavdDe7kLjAAqSGwK+bHjnGR71mpxT1Omo5xjuJDcWqyhZZpV+UnIPSmyXkTxYjn34PBqC5iUZYJkgVTSIspLDBJ4rrcoONmjlp1JSkrGvE+btHB++OaniKrelSD16CqWx4XjbK4wD8xxUm8jUFJIwR2Oa5FGzudlWSlE0Jo2kV2KY57j0qDVbYNCu0fK0eQf0q7BIgtmjJ3MOamkjjks0UklR0I6iop4hwk4s4atOWkjlGEawIhjxJn5nXpimq7GEnrjhlq9dWsQc7XLH0AxUlrYmMZkH3j83uK2rYiNRWW50YWnJavYi0q6e0uA0T7Q/GfStldyyF3O9n44FYs8BjZ2Awuc4Hatezk+02yIww+PlI9q5m1KN/vNq9JppoHjQ9intniomhSQ8yAmpY1YoST3I/EU9rPcM7C2fStFUS0cjnlXklqimLOLOd4+grQgslMWAvHvTIrP5sEMF/wBqt61tsxHAoqV7LRnJXxHKtTlbmwj83cGdWHQrUQtwXLs7MQOp7V0V5bJE55VsdxWTOpYBUKjnpiiOJk42uef7W89FqMgujaJ+63ZyTk9qle5nlZZGCj+6RxVNlbcd44Hc8ikkb7qnBwOKEkzuow6yLUmozlQpcNkjIA6UqDMrBupXiqH8QDHjrVqCQ7k7gnrRyLdI9Si1ErSxLksTwB096rOzZzgYK4NXJtvnsjY5z+NV8xKoTnI5z1zXXBPc6ndNWGojFV2dupNK8bKQxXa/Izj5TT1kHkSqg5UZx3qMO7oAQxGc81DlJsj2lpe8OQhOmGOcEdKuAgoGTIXuOtUoIQr/ADZUDnNXIlZNxUAg+nesp3T0Zg3zK0lYmWPI68EcEU0xvnJTA/vCnpgDkbT708ZkAUnjHHvU8/c5bWepBsXGDgn1qtJC/wDyzJ/LFaHkBiCxXd70myPPJHWoc4msfJlFEE0AXzFMg4ZRVMobcEHOzqD3rYjtLWJ3KDBb0qtLEVlERPytnBPanGpZ3R0xleJFbsQAyDcp75rRk/fQZBAI7GqBgSJvmUsvYjitFHEsQAC4Hvg1pKSeqMnVTfKyUQxtbh35z2p7xQxICqBGx1A5qpbyhpBuPyr0FXJ3L9MVyzTelzhxGkdDMncSTLGF+8cZPQ1QuWXySmAApOM55q+YiZSQp4GeKzsNLIEztwTnNdNBWdyqEuanruiiIX8pSSWJ44rVQiMEMGyE46dc1mSTxIyZkyS2Ao7461oQXcQK+Wihh/E54qnFylex3xg3FF1JMqCrce9WjICI/MjX1G4Z/Ksws+V3qWPQYOFq1bRqil/MzKeueR+RrN3T2BU6bLvnJGd0pLH+6hxUbXrMxKhYhnvywqsyBG3OA7561VuZ5I12hQTxVXUdWPki9Io0ZrjAG6Yux6DPNUZLo/Nk5xyR6VWVyRlwdxOSfwqwpUALs6/NzXXSloROm1oQtIz5dSAOgOKgtZ5Zrgoig7Qd2asSEb1RQPm7elTNbpbwlgxUkZLD1qqlVJEuyRQMtwJfnB/yaiMRnlmX1I/Gp5Gy3zTrwOg5qewVfM3Hln9/esud2ciK1a5B9gZMsRk4HJPtTGAZSjHeBxu7iujvLZ44UZoCiP0JPBrHcLk7QN3bPOKxcpxfvEU6ynpEis2aOXy3OQ3KmtFkG776gf3QOay1JXBI+6+OTzzXR2gifaWjGf71YVXyyujpm24pscsUb22FGVrEubJ4pdyjKHtXYeUHjAGOnG1cVkXVtKGOEIz6gEGudVHGXMaQUZR5WY0UJJHyHn8qhnXdcovTsfetRLKZ2O9io/2TVG/i8mZGAwOg5z0rrp1FKRDpRivdLdkmbfIKlgeQeD+FXvLDoGQgOvNZ+nPgvCSOeRkZzVrd5RKuDjtilGHO3EVaLsmiG4t0lJ+Xax6qP6VUFiTJgcMOADxxWoyPsDSjCN6Upa3gi3L8zdeecfnWkaM1ucqXLqtzJvMx3CR7fujnvmq+0teIApUYxzU8p82R5ScjtVWAN54IYg56E1pK1zazUTVCTQ7eFPqU6ZxVuykySv8A46e1Qne0QyQB1wg5NRuSkgYZXBwXNc1WClZoujJSfIzWaCI5YquD2xg1XmhGzevT+VMWVlGWCsp6N1prXEiMWXbJuHIOcj/61ZQpu+h2Qpt7bFG7YRqGccMNpHrUFnI9uoJPys276VZnh8+J2dyZDyPRay7SZnmeCThv+Wee/rXW6KceaO/UVWN1y9jYLMXR0JxknPvitG3ImiRjnYUGPes+C5htoJ0mbdLGPurzmrcUqrbho8gDC8dFGfSvOqpwaucdajKp73UvoCrYWA7e2DVyK5wNrR4HpWUlykjYUOcdSAQKvRTDGASR6Pzj8axnUlH7J4telFaN3C82yruU/KO3pWDckZ4AHbPeti4O3LJ+I9axrsZRgPWt6bVlJHPTjZ2ZRdmBKpJnOeD1p6AOgEmVcDAYcg1VwwLEngkAHpVmJmVHwxG0Dk13rY9WhEc/lxKd2Hc+/Aot5RJJyON3alZlfIcKcHHApQIl4jJ656YprU7YKwl0gWQscZBPuTWfLmQAqAWLYHPStS6TeqvjJYVkSIwjIyDID6V2U9jthsTRfLkk8jg4pytCDlcrk8c54phKxrkYYnkgcZ7VIsIYdDyOMHFYytcipsP8xRHnqaUzOiq67sd+c0yKAK7LMSBjj61MkTFGUYHOeKy0ZzNOXxE0UhkA5yO3FSDcjMyHp71BhkB3AZzwRUiky/dP1rmnoc87LccJTvwRx2pfkEhJIA6+vNK0avGDnHHJqnIWQnbkriphysKNi1vRzkHj0FRySxs205JXoR1qqrYIPbOcVKO7ufmPSt4rWx2xaHyqfL5Y8Hg0y3kERwv3T3znmhcyBw5wB2A61GSY5wpHB5GKqUWkY1Vb3upd24cyDpjn2q0GQRbiwC46k96YCrQuV6Z5AqJyFiQtkgdRjrUuKmrnHCPM+RuwoaCS42+Y2CCcg1mTxKty6iRn3KevarUdwXcMsTcAgnpUBMpvYtybPl5JFXGDhuXKHK+VFIWyJbhwq4GcA8mp4oomRTjGe3apQYHRYySSG7DGKlWBshzjy+gJGK0g1Janpe7GN2Klqyp+4JGe38Jpys33gNrLw6+lTK218YFOdWZhKoAToxPei19GYPdSQ9GEiHYm0qPmJ71WmUH7pXcDnP8APFPtwA7jOfYelOe1dssRwDwPasXGzsy4tJtsz2jAJ3MAOck8gUSzLbxl+NzcKB6VMUWPO85HUis6TfcSGVgTk8Adh7V0xskbSknEtWYLr5rdTxnsKmlimuEIJUKO4HWpbazgQKZWOcfdA6Vf/dLEdhyBXn1K/NIxfK9zmpHkjBjwRjrgf1qSCcxNAQD0I/z+dF8GklYqNij06molVxCpAztPIPpXTCV4nJOGt0XJL+aRQDO5UdADx+VNtZGlkJY54YmoUgWUjy2XH+02MVMQltCFRt5Y8kd/pVVakqisY4eg4zu2ESeZclOQMZ4raRhEqbZWzgcNz+tZ1lbyEGVCA3bcOCKth1MgW4Uq3Y9jWErNnbJ30N20myuZGGeymnzgSkY5FUY5xHHhiCg6f/WqeNnkHmMSq/wjPJrllBpaEqWo0MEBzWLqe11ZsgAdhyTWvcKD8yJn1JNZ90gI3MQTjhRTp6S5jf7NjEhmKsCDyOlbcN1HNEBIcHjDehrFmtnTMpwpJ4U9xUcVwckjII4IPGK7k18SHCorcszfbzVBCkEE9zVWSN2j/eMiD/YHWqAuJn4QMeM4FRGZ2kKliozn/P61rKpJoz5afNuWWbzZDCuFyevate3s1EYWRQcDqRVaxEUSA7Q2erDnNa0Wx03REHHVa4alR8wp2tYzprUwjcjYB7VXZmG7fllYYwa1pHUoWbJzxsI5NUZYMnOwoMZwaqUrxv1/r+tDnlTl8UWNhk8snYAVXPWhyZlMsfDD7zVXjXy7iMODsZtuM/59q07q2HyzRcYGGA9MVUZrd7nTTxMkrte8ZzXESyYg3yHq2OFz7Vl36eVKJdu0noavsRvJcgbR8wxUcri/jMZGD/CKmU5Rn5HThoe0k5NkNhdqzOmAspH3gOv+NX7GdhP5TuCZWKucYGelYUcLxyEBfnTgituKJ57ZriMr8oB54+Yf/WqK0U7m81BrlWnQ0oLgpHgHJJwB6VOwOzO8d+QKoIYvOMjgcoCARkKSeen41auHLQsqFWywUlemOtcrfvWPJxOGjq7AzSheWBHuKqzukhICM/8Au8VIzGebYOEH3jUqx5XCLheg9zW0IWV2cKoQUrIyzGoZQzBcHkdTRsCqVDAqTk45zVy4/dNtjA4HJ6mqyqWi3DgdPl710RnoehCkoqyI9qLISQDuOetSqsjgrHH+lSrndtCgAnoRnimSzMxC5IHtWikjRR1JAAIfKJBwevvWbcwmIsdoY9uOBVyMnc6ZwcdaViGwsqH8O9dFOqkjeM7FGKLci+YSCOwqR5FHB7cACrEsQCYQkgd6pMOuR+dYznfYwqTZIknyZC7uee+KerF2ZOQRzntUUC4cA4CGpJA3B4OOMj+tZ82pi6o9Wb5kPOPSpYwm3cF5PUH1qu0ZjIlAOc8+9SxuMA9Bn+LtWUtTmc+Z2ZMjBiW+8FGDgcUrCNlwF/CoSSgznoeMCpowDjkE9eKh07O9yvZuMuZbFR2WJsbBnpnuKj2tIcBiPrzV2SEMD5igjpVcxxqQEDAjt1rqpTijrhUUOoiuQFEgwccgU+RT5YJBDcEA8YpAJQ3ByPbmnSLI8DYJ3dctVylzdSpzU2TxBgZg2AufXtTzIZBjqqnAApCArngEkYBpsUZDgeoHSrhFPc86nZzbY6NR5RYt0J6npWZcTqJS2SSBjNbaWyvFJv4A7Vh3lqFfqQKz54uTRtrKaaHlSsZ2DKvyGHWpkmkMXl8YBAzjPFVfPZIQiNhQcGpVudsCAAMufmbvVRi7WPShTvrbUtvLHGhA6D19M0sTpLCcYPGBmqkcyeYHlXKA42nvWhJ5b75lwuTn5eg9eKvkaXmVKly9BI42LpsDEgdM1ZmlAXaMnjn1FVLWVo3Y5JOTzRM/mSkZx61mk5TszndO9uhTkQys3zYjB5b1p9pbrJIHx8o6Co5mMreWmAvRRnp65q2WFvCsfAPcilWbl7iMq1SySWxZGLePeoBdsks3QCpHQSwhztyQDkDGQaikltpBHksu0fdHINSvlouPlHHXt6VlPDJNJHLSqym9dEZ8lsGljjPBZsk+30qrd2bW0pJHB7e1bkab7vceirn9Kq30JlnVONuNzVEZtTsjujZw1Odk3h/liLAnA5zWjp1k00geVT079BVloCkROwbsZGOfzpYLl0GSuMfxIf51tPntogjCPc0o7IwKTHjH+e1MmiSQbeSMZLGrMF55ihXwU7t3FNNuZmZAd8QOdw71yRnKL94KkDNjc28o3/Mn8JrVV/MXeGyaqToojZHI9sdqq21yYXeNskg8e9XNXjeJjHR+ZomYIMc7+m0VCU8rMjAbjyRnikbdnzZBsY9M1E0vmAsW2gfeqEuqNNbEE8azfvG+6OR9aypLZpGJAIx09q15DuJKgheuz+tBUq6oM4f2zWsZW2JvrqYkglgV0DEFlC8cUn2WRVDeYFHYYzn8a1RBHLdkuwwpJI+lPWMPgqykE44POPpW821C5nTkpTsZUNzLBIccMOGHYj6VtQ3SkrJAdq4+bJqre2Chd0QwVFVbQhJSrAmNjyvpWF+eNzdrWx0UKtOTOoww/WpZYl2B14zS6fKhUKo2KOmTTp3QN5SkOrHoO1c0ajUvI35GtEZUnUrxkHPHPPtVqOX90A5K8Y5HX6etOurVVj/doFA9KSycHawAzjkYqpT9y6MfZ2lYxLmxubm9dYmUw7NxJOD9KY6mOdgBtZDXSMsSSF9pDt1wuc1kalGA5lUZwDkYrWP7yOg4TcJIim2bobxFTzhhWV+AcVA+o7pke4H7kNnZHgc9qsQSxyK0LAfNja3pWUsJF0sMy7oy+MenoRURipO0lrb+rHdCXXzNIg/aQI3fKvlB3ZSOmfrWzAFCbnXMpUBsdR+FZe2O3jhUXHmXAJZhjIC+masWQIlX9w0gG5jsORnPAzWM2tm9CqtPmV2i/wCWgH3wB+VSB1XlZEY9sDpVU3MqICW3An5tw5Bpsc4ZsPGCc/eHB/8Ar071LdzzHRpwd0NmUElW574HFOt7UqhXovo1TyGJQpbAYDqaZmRyScgE9RT57oj2yGy2wiO8nLZ7dKrGPP8AB79eavKhwyo4bPO0iomtyWMmPmHamp9x+20KjhtwPTjof61CrmMkyfdz69q0FtpCM5BHINV5beNlMbL09O1aqfQzdW+w1tjxqy5waquWbCkFu3uKsLGAu1AAOwNWGhRFG48nqRVKdtyfaW+Iy96jJzuHp6U0bhJuQ5UnB9q0Gs4sYXAU8mq8oS1TcuCxH4/WqunsJ8ktiQ4VQM/IR19Ki85EG0jcM9qgiuhcBkPBHakcrGpbJJ7CmoWdmKMUnZl5ZUyA3APGakiVc4wB6Ed6oId6g7R8zfnU8c+zYMlT0Oegq3B2sjupwujSeENEc9PWqcqMCWXGCOQOtOgupPnQ/dxxn1pk8qLls7T0Oan2fVFyoqEdUVyZVbAyF/UU6Nlkk2ktIe2+mqS5KmQ7fSkhYq54yMYzjNYqpY5Zwcdbmiih1RgCASAM+1WIoQk6t+H58VDavvAUnB646VcVCSCOobjj866YOyOFK0mSIoMbjuPvDHSsC/dckAjAreBCiTnG4An3Nc1fsEkbJxz3HFc0G3WaR1UoXVymvlsj72KkDt3xSRyeaRhCE7DimqwMhZVOOmOxqWJRPtIURsr969WFluezRlG12Tl1w0KoXDLnnjBqcxuyrGG+QdR60tpChfA5IGdx4FSuzPGEjChw3Ljpiqq1Y20KnWWy0BnKZbuFwKjIZEw+VLDdjuatxQpGu5udvJJ9apXDtPhmGCzFc+2awpTvex5tebeiJbKINL5pA2kYVTxke1SXVorYEabcnnHrWlBZo1umVBwO/an+QqyRKAAByRXne3tJ2G6Sa1M6OMqQh6gdPWrDDEap/EzAGrJRJHKEAj3qrdKkUvyFgF6DOea2hW5lpuZSocmpPa/M0knYtgfSq0yM14eQcjA5yKswK8duD5iZxnZ0P51CkolugcDOCen4VnSXI3JluLckkU/IeRiuSAvBb2pjxDdlBtYdMc8e9a6Io+TGCex71Vlt+SVNdVOpdanZ7GJUgco/p6qe9bsNyHh2IMAfw1z80bBwR0J7VoW0m3DbhuAwcVzV4L4kYyV04y6E11t2njk1jpGzzEnggZ/WtySKMxltrEnn5nqiYdt2g+Xnjis6Tcd9jhnK225SFwzShXPHqasbASQpxt5+tVpdkbsDGzMpyMfWpIJcyAnjoDmtJQS1RcGpadSaFlkIOM7Tzj0qSaSMSIcqTnoD0qzY7Y38sAAZJNS3yx+WWCBWJGSBWHPedhyjbUzkTMcjcfdyOKZBcZtxvYcHGcVfhiBgHuCp/OqUESpFKm1W+bowrq9omrdjOnTSTfVkplR2KxHcQN2SOCe9ZVzGUxKnGCAf6VueWRwlsScfwms2dP8AXRt8pIyB/wDXrOMlz6dTaLbjqLbzKhXsp5qaTU4opEIf7vtXPPdvnYpBA4OB0qFpznamCfVzmqjRTbudUsQoxVzrm1SK4XCuhz2ziqqStbzq/wDCTz+Nc+k0vQrG/sODVu2u96+UzHB7HqKdTD6Oxkq8JOyOs4aHch+Y9Kp36OEzLv5P8RzxVSG9nJEQZYgP4iMmr1xAv2bJmJPc9RXPh4unP3tjCvFy0ic61u8MpK8KDkEU03AQyMoKy4wHHzBfoO1WzdfZwU3iT2xVVrmRnYsiKB9Aa7nSc1zI9OlCTXY0PO8yKBwETfw4K9T70xZMMyxrtZXJKjkYqosbyD5WRcnPDZxV1pkVz5fzbkG9umMDvXLUoN6pamyi1oy7DKhHlTAPzyo649RQ0TQSvggLn5SRxis2CVZE3JkgMNuOfrWmsp8hepIONx9PepUHFWOWtRT3AE7SZPmJ4AFSLclQARn2qBjKDtVBg8rzxTm2BV3sGJ7Cp5U3qji9hFO1iRLoNkPFsxyD61KJRJlckHPBqrtSTcASCOvsKfFH5TBVbeCeppuCWxEoOOqJ3dUbawIY85FEjKPvjG4dqinwJEXr1xSZYEllJIGajdXOeqrJSQ0qIyAvpnPXNVmVjlj1HBHWreflyOB6UxokDs+c5HPNXGd0Qp3RCEZARu+U9PaqtxGX3B+MZq5I5c7R0PSod24lW+8Bk571cW73JvZ3MTymiuAwz6kVb2rKuCcjHSpnizjA59xmnqgT5go6YOa6Ytt3Nm23oipH8pAA49anWN1YqcFSMrg9PwolZVGHbnrxVVZxHJuBOQMYPfNdcUepRvbXcnFxsUHIwuflPrSXeWVXU5GSCPSoVXDSDJz1GTninxltpYhdnQqOv1qZws9DeTU1Zli0jIQ5XcmOgNU1JS8OGJ56YwauxOqpjsRwaTcnmZ+UHqDjvXDJWk7o4a0Hyl+2YEKcZ3A8VqA4jBAIJ/CqkNpE7iQfd9K1oYEaBgOBx0FKc0pHBGL57tmZuBZozkNjOKxbvBYhujcc+1atyNlyNuTjuTWfe5E7lTz1AHPWiNozuddK6TM2O1niyI8BCe4qQW+2QMnUdQ9TozqxGwtjnK9vqKmN2ixjAXcemBXQ5TlrY6VJ20IY4GRTluM5OT0q7AyEDb82KoXPmXJ2hjjPIFX7NQi4IxWbT+0zCrXsMvpwqeW0TOjDt61WJ+aBOQFXPNS6hIQYse/+f0qBcTOm4kgjoK0i1Gm7GcLzkjdtb1VTYSDx2b+lXrcpLIXLdgBXKmNAyJHGMsN2c9BViG4ntW6ll9D2rhqUOqO5WaOiu1ihBcDkDqODXNXN6Jbkcnip7/UWlgVVzuP51nlFhUbuM8uR1rXD09LsyrVlH3dzUtrq1xtaQ7j61Naogk3BuADWPKYJ02xRso4wSdwP+FNgnmtsEMWQdqurRsnyvcypV7vU6x5IvIyxGPeqrRNL94kL6ZqpbzpcqHU/d6L6Vaef90MkiQdB61jT3OqcmkMKqW2YwpGB7VTjkMDkE8NlatG1YrucZPXZngVHPAHthJjB4IrvjT9orI8+eIVN+8XEnUREMhc/3QetNkXc8UmwoARw1VBKRCD6EitFA00A5J/DNcdePs42YqcVOVyhe2LO4kjOCeOmap+RJbModt27qcVuZ+cKwzhsfpWfqQ3p8owQM9KxoVHJJM6ZQUHdBA6iTfnJxyF5NTymWSLd5JAI/iOD+VVbKdEIDdcA1enuo2TBYc+9Uo3dzo9hzxuJCw+cZAI2t/n8arygRzSYOAzAj8f/AK9RQyn7SURdxYYGeKlvg+wZK7xzwapRcW2ccouDszSjAVCSoyRXPX3mm8zlgp446Voi8llVY41yxGPYVBcWwjXLsWlPauanHkm2zZNWscwYt9w4PTPAHrTrK3WZip6kMB9eo/WrEsRiuzvAU9agL/Z5c8A55r1KElz6nNiqblT0ENm0ADuOc5waneICb5D2BFV55HuHDNIce5q7Yjz5UPVQNpOa66qgotpnHQjJNFqFjNCpX7/pV6BN0DLJKS2PugcVQWMgM0YJCkk47Vr2537XQogxyW5rzISSbT2PWmtpIwXWJpGRFbcpIJzkcVCR5cRLwhyTzzmtK4i8m6mZG3biWyOOpqrOqD5myT7CvQjLRaaHfCo5rQhWNWXdEjx5HbkVYw5tfnTb8uSq9ajiAfhVIHXKnn8RQqMGbkuW6YPNa8qZ2QinpII5gIxDGC7Z6E9PrVy2lc4QkMpOCBziqkLgNtZfLZuuRyfxqaBDHIshGFJOBjJNctaktTGrTsro0AzohLlUC5wPWqUlzGB82IlGRnPJzTJZCC2/7zDGeoB61C0QuFVXKuAckgcDNZRppbnJKUehft7hMAO+VZcDA7VeheN1OwgMBnBOc+tYLzKSFLMqZwGPTipYpwuCpwoJwRxmpnSTRyVrPU2pVVApfkgA561F5oY8/LnoSafHL50IUk4Iyp9KTyiVPIIz1rlUXszjVNNtSeogJC+X/Fng011ljDF1wG9O9NlmhjG5pN7egHFVvtr4OMDHpzWkaVi1hUlqSkKvPGP5UOqytuXrTBcjZudlPoMdakjYkq6KAxPBHSqVO2pnLD+ZG8LcBeM9fWq00kcPJ5c8knpV28ndVwGwe7d6xZpirHeuc42gnpXTRTaOinC3xD2mYAMjBwc5BHFVirO7BAWLdSei0+EZlCgN8x5I4Aoufni8qIsqAncM9a64pHVFdRY5o422tif1zxT43XYcK2cDIbp+dZoyqMEG0qMgeprQgOS/PBQHHoe9FTb0NG+Vlr5TEmeDnjHepFh3xOy8up3DPeoigRVAA2MuV46etWrRSQZFAC+pNcFbTU55u2jNa3jneHKgKOxNa8FlP9nJM+xcfwcn9axYLh41VyCA7YAIx+VbkV8BahW+96V5uJrTheyOZU3dGLd27xyZ3CQDsODWZLiWZw4KkjJDLV2/uCZiV6E1UZzPG2374UfL7VvGbaTfUpXSZBsPlh0JVh79RUefn3IgJP6VKpIlKgkc5AoP7p8qOGBOPQ12wlyxsxRkpMkgRYlyzcnrU8qgx+Yh4UZIBrKlQyHKlwadbTyq5j3Hpg+1Dhd8yY5q6uwujlYxtZRg/e602FsCIjsKhuZZmuBHJIztggKetNh3bMnjbwa0klyKxNBqMzQEyqykj2/CriyI8OeOSxPHasoquBubZnuelWYiFGCwAC/nWU4Kx7M6tLk91akcURluQewbNSSIsskmf4j0/SlsfuGTIB39/wAqcj4kJdWKoSpZfmI+vtUzutInjtXldliytEiuIiiqDkD5u3+eaguofLlOcbtxBI9zVn7Tbh1aOVDtIJI6CoHkSWR5QwK7watN8vvIhUmndbFcRyWkglVSoJ6etatrKtx++UDzQOAe1Qu8cgwWMkj8BV5/OoI99pN1yFbB+lZTh16nZGV1Y1lkOCOS3U0xmUweXkkgngDOKa6m5AMZCqBuYjqajW4iSNhHkHvnvXTTfu3W5wVKSqS5WQLyky477hmrVpcgHyyxAHoM1mLcB5ymcM3y4+tIsxiuSR0IJ/GoxVNVI2N6cOSXKjb3BrkKGYEnqwqK4iiCM2WaTnJ3ZH5U0y7/AC3B5AFOlazhVlQsWPJzXmxjyaI6N5WZhBis5xnrt4P41q28sflkEZOM9Kx7h1in8z+Avz9PWrMMigghyQeuK9FRTVzspzSpuL3LLkC6bBwMEA0+WP8A0QOGyc8k+tRyJKYRLIu1dwwe/PrT42821kUAsQcqBRy8r06nnV2pap7FhJRBBhfvN2Heqsk5R8H/AFh6r1xTAsptgzYXafXpzxT4Y0EZDf60HOeetck4qLMaVyG8s/Mi3ooDY5Y96zZIhKoBG2RRg571twzeZIyTAeaOik8VSvYlkJcNgg4yB1PpTg3E6VKL0ZmC2Vjl0Tj1bj8qvQOoYRRgE9B6VW+yuZQh4zx171es7TdkL8kqHHPetZ1fd1BU4RV0a9pAsSiN+QeckYP/ANeoN62Ny4kP7pjleOlOhulP7mf5XHQ0y5DXBQtjKn1rGmvftLqTz3duhVluo57pWijfy2XB3D8qWeVAANoH1FSN5iKAkY4HpWbc3Mig7grDuMcV3RnH4UVGpyaIjnlKOG2FQOpHBpEkckAFs4yWHpU9qEnGz1BIBqdrNt+FXaRgZq1NLRndCs0kOih80gkKV578gU1gylSvXoRirdrAY+S+SO46VFeoDJGQcblJNZupcK1RuLSIJAWVXHGPvAUiuCzgR7ABgY70qSeXIAWLKwKkHnNDqIXPbeMY9ahSTPOc2kVp5JEJ+QMo6r7fSqyypkKU2gngYJwauyxGXJXO0ccD+dRCz3H5iRn9DTU4rc5pzd9GWrW6dSS0g5OT9KmnvckBTuB/SmQWeAUIBOKe1pCFBL59c9jUPkk7mSr8r3M+aUMxBJ3jv6VEkgWUkhn9CrYxV91WU+WsYYf3hxUUsPlgRxICx/jPanzX0Z0RrOWxEW3srAfTPrVyCR1IVWJY/pUK27RtnJz3q0IhFE0gBLOML+NZyd9jRSs7WIpnOTgbiD+tVjaGY9eTzk1dihwp80Nuz2NTRTCMEBV24+prtpySRbaRkyILc7F5b1FQeWRjBIbqDmtCREySFBOeQajS1Y/NGQPUdhVSmi41bblZFjlYeapSTPB7GrsNsUZnlwEIwCD1pTGu3cU246EHihDhgWGfQZqXO6Kc01oKELIqLyU5A9qS3l8qYggFAc1PCG8/fHHkAdT2qO4iCXI9HBBAHesZpNHPOopH/9k=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "img0 = np.random.uniform(size=(h, w, 3)) + 100.0\n",
    "\n",
    "octave_n = 3\n",
    "octave_scale = 1.4\n",
    "objectives = [T('mixed4b_3x3_bottleneck_pre_relu')[:,:,:,111], \n",
    "              T('mixed5b_pool_reduce_pre_relu')[:,:,:,12],\n",
    "              T('mixed4b_5x5_bottleneck_pre_relu')[:,:,:,11]]\n",
    "\n",
    "\n",
    "img1 = lapnorm_multi(objectives, img0, mask, iter_n=20, step=1.0, oct_n=3, oct_s=1.4, lap_n=4)\n",
    "display_image(img1)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, we move on to generating video. The most straightforward way to do this is using feedback; generate one image in the conventional way, and then use it as the input to the next generation, rather than starting with noise again. By itself, this would simply repeat or intensify the features found in the first image, but we can get interesting results by perturbing the input to the second generation slightly before passing it in. For example, we can crop it slightly to remove the outer rim, then resize it to the original size and run it through again. If we do this repeatedly, we will get what looks like a constant zooming-in motion.\n",
    "\n",
    "The next block of code demonstrates this. We'll make a small square with a single feature, then crop the outer rim by around 5% before making the next one. We'll repeat this 20 times and look at the resulting frames. For simplicity, we'll just set the mask to 1 everywhere. Note, we've also set the `clear` variable in `lapnorm_multi` to false so we can see all the images in sequence."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "....................octave 1/3\n",
      "....................octave 2/3\n",
      "....................octave 3/3\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "....................octave 1/3\n",
      "....................octave 2/3\n",
      "....................octave 3/3\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "....................octave 1/3\n",
      "....................octave 2/3\n",
      "....................octave 3/3\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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TCo6dKK7HCKOfmbQ68s0RS7cIBhRWC1uYpRNHxg5x61o21w+oXqW7FmL7sHPHFWdRsxDGCwwoQk1zyjKk/d6m0ZRmveM+OcXQeMHDlTxVaRJBGgwflAz9e9Y8kkzTbgSuORjgitKC4uZECkhjj+IUToyj7yYlOL91ors0icIcLuyQeRUMl9G8o3hvl6Y6VYm82VWXI2qCWIGKorGqyKSvDjIzWkJ8r97UHByXuaFhLyYwvHANsbZHI6n2qq0ZZ1yxywwSfWti2SLYXI+YDCgkYFMWx42HruzTeJbZrGiuWzIYVSSAxzfK49KSBAjgdR69KsvZuXzg9c1csrb5wjjk/dPrXIsS1K3Q6fZR5bsUWgurKRQCGxkZ5/WqVlKFbbnJFbIkFjKMnZ9RkGsi5j/0kyIoVGOeDwTXbC04WZx1E07ovn7Qy5gcEnsauW018rlNpA9xiqFnKDhTww9RV+SSVI2IYsACcVzulrYFPujQjVLZPMkI3HrVX7asd8yleuPxFZiX3mcEkhulW1SOcAtywGAaxqUpbM1hKK1LcliHbzIuQe3cVbtAYjhl/CobR1iIG/cPSpdVdo7XzIWUN6Y5IojRbepE6r2RPcwLcRAREIVbcM9TVGPzIJeu0H1qrb6kzgBjhh/OppNQ2rl0Ln8OaJUXf3TFVujJ74rcxDzofMI/iXrXMztFFKwTcBno56VufavMXIXYPy/SsrUC3mpvjVy4LBWHPFWo82jJvyq5V+0xKMbGPqegqOXVQIHit4xGOmepJpGjRwNsToP9roaiFk+cY6HrXTTXI7NHPKrzvQ1tH1DFmUlbLg4JorO8lrYKD99uij096K0uh+89jqfCunGW9NyVIjj6E1Z8QqrzGAYHy4B963bXyrCxWKMAt047mqV9YC+hMqnLKwJ9qmcebRF06iT1OITSC7ZXAf09asmyS0iYFh5pGAB2qbW2e2k2x8Ajt1xXPtfznlCACOWpRhf42aOaXw9TWktR9hIQZJ61UazEluExnaMA1b0mV7gOrE7TwCe9bEWmBYiWGFzx71w4hS57ROyjKKjeRyV5G9pbhumRj8q0YpRcWQlGCVj3E0aoglkO4ZGflUdBWfbmaEsFIAb+ELxTc0opN6otKUm2tjZsrxZcLIgIPAPpVzCLGSeAhzn0FZMdxCvzSKY8dT1Ap1xq6CzmitVLvIm3cegH0qWlJ+4i0nFXkO1CZnn5GR2YdDVdRGqEiJt/bLZX8KbZzJPGqSsScAbhV+G1IyBhh1BFa87pe6QlGWpls5WRWUDgcjNadpfIcAt7HNVr2z+bzY1/3lqlG3ludyqwPUE4OfaulTjUjuZVIWdy/NYvExMPzR5yB6UxZ3hOCCB29qdbzTggKd2Ox5qdys1tMZgqELkE+tP2i2lqZeye6ZGurqOJ+COjipG1WZ12LNHIvb5c8VjREzqrAYJzkVMYvKKnB2su4YOCPWlN+z1RCip7morBxlrZwf7yUhaViV3YAGcGiyh8wgrIc469DSatBcQojLnygCDjrms4z53oKUVDceuyE75ZCQOwPWqN5NLeXX2g5BAwo7AVDaMkz4ckPjIVuprZt7dG+YAZHUVE5KDs9xay1WxStJgYlQAbgMFG71aM7of3Vrtb1foKml0kGTdEwAPQHinw6XKdw6HGV+oo9v0MvYx+IzJLd2cvK6lj3XkUVq+VvwFgDOcZPofeitua27JT7j73xNDbgLFyf4P8aSz8WjeEdtwOM4GAM1ymq2hZIprc7gAVZQeQfasuHzjMERGMjHAGOc13RtcyjG5297L9quiQAVUcH1rEu7GOOUmSNkzyQDnd9K0Jnis7VFebLKg3Y4IPesdbkXMokVWYAEIpOevelOk1qzpXuxub3h6INP5jgKo4RPSupuJFSA+YUUY/zxXN6UfKh3S7VOQQO4qS4uxeysgO4DggnkVwVk1sjSDb3IZIRcCWQDg8LQNOwygjipRPFDsiGMjk1egure4hkUEhwMjNcLo9WdSr20RiajaBIcYxucKKpLbFLnGMY6H2ramJuMI/O3oQc0y+hWEJKeq4DU4z15UbcunMzL+xmOYvHwD2rXsjkZ6MO3rSxbWlZRzwGXNWtkDYaNxHJ6etQ5ym/QJuMULqFtDJaCTeFcjjB5NYJsWdwQfw7mt9kjUF5ATgdu9Z15eCHP2aPp2PauqnbocinLYoXlu9rDCD8rMxI9qY0bTWwkBz83INPFxJqBzOT5gPB9RU9sy2zFZjiM9TjpXUrJW6kuUm79CraW2yXaB8pOQfQ1e+zB02Y6E4q20dvbjzvNjZADjB6ntWVbzTxgO53bWOfoafLJr3iHJJ3Rp2tmN42kcdAeKs34D2clu5ILDCgDPNVJrmNo1ljkQnuCcEU+1lEsweR8kDCqKwVPkd2ZVKnNoc5DbtE4TDAr69a2oxMEEsWQw6jFXJtPwXdR3pdPdUk8qVevIPr7VzV7zeptSkox0LOmTtOcNgH+6RW95Plrny8H1/+vVBLeOIiVFyO4I/rUN3qyH5En8v1Fa042Wpz1J3loVdRjK3IeH5Wbg4oqm13mUSKS6KeWPeitI1eVWYnzdDkLszR5WRT65HSq63kin927Dnkjr+da0iFHaMHcq53dwOKqPOzHKQoG55x6DNddOqkrplxTTvElt1kkYzONoxhQR1PrQsZSONZhtI43j+tSWwkmZGc5X+R9Kmu50Znt0wSinn1pSrqcrI2cJJXYnm3SxgDa8XqppFvpUAB4PovU0y2gWcbX+V+3J5qvJG8blV5x3qHUhHR7mXJKXwl1DK0LSyHEj5O30HarFq0keX5HBxmqlnJIjb04J4ZSMg1aOox28mGttxB4APFc9RqT0NqUXFamtHEg2s/BA3H6VnXt99rupFVvk27B+FUp9UnuWbgpuGAPai0gLIqnIYMeahUuRc0tzX2vO1FF/fKsYKAlwMDFT2d2JiBLHg+4qWwj8xSpH7xc/jWgtnG3OFz7DFcE1LmdjpcoW5WizHGklsyJhSRwSOhrLnsmDfvVAJ6kdDW9a24VgMgfWsbxNJNZSKEyob+Iciuukm46nFOSU/dIY9PSIF2IVR3NZWpI01y8qZEQAVF/madaymQhpGZ/qePyrWFuk0BJ+ma6qfrqTOVt0YEMDbox2YEfiK0khBsJgRhlXcpH1qYW3lyFWGBwwpbwi3to4+jyHPXtWtPmv7xnUmraGPDGZXAkAfGeTW3YxiM7ycKOgrMZCzbs7eeRQskkEoMoYgdMtxUTd52exyudlodbbOkgkDfePQfXimT6cqhNo5BrF06+aS7kdj9K1rbVo555YiQecA+9TUoNmca/Ky1aPhCh5x/CetcdrVsYb5pFIZScqM4IrqriRNokDBW6H3rGvXSYHBx9RkmpjeOgOfM7mHFc75FWVyFHrwKKf9mWd22AEA9fWir5orRo3jFtXuORV8kwn/AFm8E+/rUv8AZbMSVHX5gcVVuYJPLWeM8kfNjtVqw1mSAxpJEJY1444/OlOCnrE1o1HBWY97Fo4XcjaSMAepNZ0cWXDdz69q1W1I6lM4ixGysNinoQPepEt1Vi06iMnrk4xWEm6SstTqi+d3ehWezEcaSAjBfGMdDTTbhZm3KSrHr6Ul/qNvKwt7WQMEG4HHDNVq11CGWPZcoY3x1I4rOabS5tyotpOxAbMqx2YBz1x19Ko3EYXUPLc8FQA3qfetqTULK3i3eaJHGAqrzmsuW3NywmU9eR/hTVSNN6sFGVRDJLZTEpKlXQ9q0dO3PgbFZux6YqWyt/NXZIMHGORUflm0uGByrIecjqKqnVVSNpCnDkd0aBT7LMkvY9T2q00yiRSnRh+RpAy3UGHOSVwB6VVukEEGeQUOT9KPZpS12IlU5lvqacVzsG1vmU8j1FZOr3H2oBFlBA52tVWPUyu0buCOPrUxSG7fJ43fzrqjR0OXntK7KtrEgYb/ANKsSpO0mASkQ/WpZYxaRqWbAzjOKdBNvI3yjZ2JpwpKLuOVRzQk91MkG9lUlBjcRmszzJbq6aWZtxUfKoHUYqxqd7FMotLXkElpGqtHblyCV6cA108vLqc1WdlZF23t/Nyu04PQEdKtXFkHQjHIHOKfaeYuFAAIH3jzitAbc7F+dsEk9q5pxbPPqYiUdTkWtZ4GYKT/AI1NEkkIOAVfIYfWule3ikTJHTv71AbGckKoO0jOD0FL2rtqP6xFlBtQmG5Wttyk8EHiq8iGZS0m1F9uMVqyWXljk/N3qsLQ3Um1AMHnJ5rnlJyHCqpPTRGHEpSR0gZgmc5aits2cdq+3HzHqcUVpzPodCqp9zOjXbAu7+MjPtVG5tFRiSjE5xwdvP4V0MlkxcDGFXrTzaxySFZCFLYPPQnFcfPNanrwUNjnYIjsz/CPbpT7qBxaoGJ3bscknIrcuLSK0tyNwyw7Gm/ZlvrCCePnA2sPetIyb2L5opnLRWzFiOQ68j3rV8r/AEcPjB6H2NW204oQSMdgaivWVbbyEwZgQ5A9qFepKzHOcaauijcWmQJEXAABNWbW3aGbaPuMA2D2NaGm+XeQ7RzlcEH1q9HZAKxI+dev0rCVFt2NFiIqN2FtabFEi5Udxnj8qoak6vcc9/l5NbUMwjHlt91h6Vy2pqyXeJGbCt8pHp9K2p01FmLqOT1JrW/Mc7RE7ccc1pPPHNEYmwVkGDnvXPXkqTS+Y2FfAG4GiCeYMF++PY16PsnKzRzSWtyOaJ7divVVY7TVm3u/LwTkAdeM1PMDAqPI6qXOSvXiqheOXAjQhySMKOvNV7KdxuUWvMvX+ro9mIGiEqvja3pWUJomwC0g/wBnBqa+j2xQRKPnjOWP1qO3xnZIM5PBArWyj0uRGnd9i3bqhXaI9g9fWr0H7t/LcjB6VRbdbOOSVPoM1bg2zAMoIwc5J4rb2alHmRnKNmaDq0uCkhRe+Bipku4of3Cnc7fxVnrMyymMjaPX1q/E9uAG25YcA1zvTc82vSZoRlBbAscMpqWSYqnmHuOcVlMZZbiPZxGT82egFaEjRPEV6J0z3Nc9WlzHF7H3kVrqdyAIwSGOOOtWIbeOCRWEq5/u96SAxxSkkDGCBVa7lJcNGcBWBJ9s1lJfZR0U6fNpshJU8yUylc4OADRR9pRwV6HcDRWTuehGGiL94I4vlU5X19axr6Rmxs6Yqs2pPJCqsSHUYyOc4qFJnZwNuVLD2yO9a1KK6F06ri9TPuFmdjgtnjv+dXdPeazcJGxXJBYdsH2rRt7RZSzDlVz1HNVAQt28hwM/KM0tLcrN1U5veiRXl5cSNlnJUEiqUIZ5WLnOB19q0RZtN8pIHrnvU39nbE2YxnqR1NXGpH4UZ1Jx3kyXS4THCsnTLZ/DvVmK6CyTMx+8doNK7rHapgfKFAGK5+8ndiEU4yaErXuKMnUZstdJLbqUI3o2PwrH1CZ33BWIOM7ex/CqtqZkMm7OV6+4zTro4mjz93jH4is0uaWh1fBHUjeINCHIOD13CqUkLwsTE5T0xW2sQmsGTYxYj5SO1Vp4MQKxBBAC813QVkRT956mOWeR/mLM/TLGrdtey2nyqcH1JxVv7B8yKBkviqzWJOe/PFZ/WZN6nZ9Xjy3JIJW3nzj8zfMGPINWWt/mDx8Z60tlb+agiYc9q0raIR2+5xwjYbPpWDqzcy1CKiMSESxbX5FSW+mzhg0cqFfVu1T7RHK6qR0BHfNWYQmc7dp9VJxXbCo7aHJU1Kt5blow2cygfePes2G4CSE556YboK1b+58lTnkHuvOfqK5+Z1lcuAUY/wAQ/qKj2i5rM5pUW1c2ZNSVIgACSemBVqV38kHkHuPwrGsXjhbzJCGYdCa0be4FxMWc5XGQPWqa0ujklTsxkuoKlsMHBGK0LZQbRd+A7HPPpVaVLf7TFI0ceee3em3Vxh9wbA9K5pRewrLYbd2ssMx8uRTuHTuKKYLolwCeMYJ+tFKNktTRSaQ6CyjuGZozuGSy46jNRyGGKQxxne/QnriiiuhxSi2auC5+Usy3AtNOWJThpTz7fjQlqjRfNyT60UVzTjoKcmloCxBJUjXlfX0qxd3CwPEWztJxmiimktEcsW6k+WRVuJikLIuMAZBNZskQlhVz/eOD696KK23ppsrDP3hyx/JjvtIJrMuG+0X3yn5EACj196KKKUEo3PRvzSszUt/NdQB07kjGKg1GVVEcMZHByWoorRr3rFQXUs28oa0DEgOnHuRVtLESW6mMgspLfUGiioUVdo2lJqCkhYrMK+8Dbz9KbdXEZ+0wREHKfMR0zRRUKCbBSbjcxINQlwrNnI6g1q21/vX396KKpxWrLcVyjr5EvbbfEcTJ6d6y4VO7ZIgzjO7vRRU10kk0ZR0biPNvFIu5GKn1HQ/hSebJa5ZjnIAz6AUUVlTqSvYzqU4iyXhkiDA//WqB7tskNnaTlTmiit97M5XFJ2JRfAxuznABBz79qKKKI04vc0VOMdEj/9k=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "....................octave 1/3\n",
      "....................octave 2/3\n",
      "....................octave 3/3\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "....................octave 1/3\n",
      "....................octave 2/3\n",
      "....................octave 3/3\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "....................octave 1/3\n",
      "....................octave 2/3\n",
      "....................octave 3/3\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "....................octave 1/3\n",
      "....................octave 2/3\n",
      "....................octave 3/3\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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B4ZTg/WtK2nSJAZGzk4q3LbwXh8yNgrsBkHjNZ0+lzpO2DuiYgjnpWPK29HoN1Vy67mjJHFcpvjIDfxKf6VRvBNZQrNwYiduMdKtWdtKg3OcIo5JqVzHd2ckD9CcmumnBvVo451EtEyvaagrYyelbEN3uQKzEHsRXJvYzWsnyncmeCK07R5QApYYPrxV004ytYyrWlG9yHXrW587zkUOp6FaKu3ctxBbkrGXGPukZorsVDn1OaNZpW3PMbwS3k5dwOvAHYVQmgEbDHCkgZrqTarHZy3DIV4+X61gzRNJaI+OjncB2rahXu/I2q0bR03IIrVHchFPBxknqa0oLI+YY+7LwaitcZXd+YrXlKxWaTE/OGHT0q6k+Z8pNGNldMplZliMbJkr68VWhEiydwfbjFbexpRHNjcmcH2qdtL5DoODXnOrON1Y9OMYPVmVcXN2LZ445BuYYyV5xUmnOCkRfjja3satXNp+/3IM7RtNOgsgXZVPDdBWU3KyKShZl4WUe4SkYOeo/nWxZMIlyxDr6gVnae+2L5wG2nBHrUlzeJZnMbjDDvXVQp3dzzq82lymN4hgE9wJYzuHTnnFZ8ERTyAejsQcVev7xJI2kICnpj1NRRw+ZGq9CpDA13yeiiY0F9pk0cZilCyDIPQ5rZggZQGUB0PZuayBcCOXy5PY81safcqOA3y+hrzpUpJu53yqRcdCpqMv2eZVQNGx/u0lvILtDHM5Yt0zUviVIpbWG5h+9G3z9/asm0uAoGeOc5zWnsL0+aO5iqvvWZtx2n7r7PIMLnKmo2tjbkEqQM46VLHqKMAj8eh7VdWeKdCjcn+Vczg3ozT27iQQu6MF5x1rXSEvAzKc4GaoOY4Fy/wBzdjNSw3RVCYmzj+VXTopHLVquWpktqjrJ5bZBBIINWWmwqyq3Xg+9UtRSK4nMoUxuTzjoT/SqYnlT5SM+laulLqQpq1zbXUEwQxGcDg0sc0czY5jHueD9K524G4iRZRG+OQ4yP0qWC8liXoHbsM1sqaWrMpSb0R0lxPHbwk7u3JJ6/SisF98ymS5YE9kFFapxWjCEJNaE2sWhFgEhX5T+Zrm4LYpIykZRuPxxXYWN1BfWTIXBkxx7VXOlhp0jjGSWBBFcVZOOkT0KElL4jnW08qMorD6HrVS886OEmTI4xiu0lsktxLuwFXvXFXsiXmqMRzCrfLiro+03k9EFSUNo7l7Tbs/ZwGJBP3V9TV+4v57fYpYEkc47Vy0NxPbTZ4cBsEN6VrLf2tzEoKNFJ3EhyG+ldCwyl71zCWJktLGrZ3wM+2RcBhwcVcwI7hiP7uVNYqofLwo91I7VfWR23Kefl4/KuecErm1OTlsSG4WHzuysCR7GsG6vJZljzIAA+CxHapdVus3scETZG3L4qFYRLGwOCMYHsa0o/u488upFWHPLliwXy2YM3zkdG7Cre8x4J4/kaz7dnifDg56dMg1twKLiHy1HOOhFTKtyz12OmNC0bFK9ka4uRLGPl2KpHfI70sEzrw6MQPSntbtCSCgZQeQDginR3ECZH2hY8ckSrWsp8+yIVNR1Ni2Zbq3MYVirDBLfw1iSRmCVthDKpIyKR7ySTIjmXB4HYH8aTzY3IExaNh3Xv9RVUk4tp9QnTUldFmNhcRFI5FDAEhOmTUCXs0ZB5RupFWIoA7KyuCezCpNSsAlus65z0YCrajszmlTa2Y4a5G0JjugQp/i7UyK8Q/6qcY7HNYe5vMKYwcZAarSQL1IKH1BrOSVNgoKaNWe7uiAzBWXH3sVEtw0jD5dqk/M7VQk81QBDIu71PSmC0upF/fyEjvxV+2p2u0YOjK9kTalqMM80oiBWIHCuKjt3VjlGOOmc05bKWUbQm1AOeMVnTTNa3hVOinn0PFDftF7u4nFU3aWx1VrAZEB5VSep60VhQalcXJVi2F7AUVzSov7T1NPbW0RPoTPHPCoz8ynI9q9D0m1z/pEg4CkJXK6JphhP2m5+UyDAHfFdktyEjjzhEA4HtXRyqT5mF3FcqOZ8UhstCM7Thv8Ae9a4yO0dbVp9uCHzj2r07VrKG7g3A8r39PauantUS1ckYT7orOblFWexrTs7PqcpcWxaTzVUlG5yOg+tMis2B8xxtQHOM8sa2ks5HjOxip6gjvSrYyRHzJNrEdMrwK5415W5UbOjT5uaRlGaeyiwhIOS3rtFV5dXvbmIrlVZ0xvAxWhqELfZA55Mjcn2qjJa+W6YHykYx6VcZQi7S3KanNNx6DUtnCrKpJYdSe9asJQcqQrbQ231plm0SpslbH4daJYHMglUYHQD2qKuIuuWRVDCty5rluKCKaT5ioJ7GtKGyePBTAI6ZPWsyAOAN0e9fUHkVs2MBLAoTj3ORXCqqk7HXKDhrcbqUA8gyuVQ4wTXJ3eVuCHUFT3Irudaij/s54XI851+QVzV1ZGVQxHO0DPuK76MbWuYOaehRto9pDY+TIVl9K0XiRYxkblHOR1FMt43A2OoI6VZ1RVg0yGQ9n2CqcG5DdRKNxI5LWPGyTd/sjtS6jqxuLc2lvGUUEFiTnOPTvVOxK3EgQgBjwMjGargtBcuHQ5DHPriumEVfXdHLUd0SRQrPEGbG9Pzq2kRSQRSANG4ONw6Gi2aOSUEIMnoccnitOWNHtg3dSABj1q201zI5HFrR9Tl40kWR1GQysQQcnNbGnuu8JICAfyqWa3UXG/+GTv71bg09lIZOQeqn+lceIT5tC6c1y6mpHYxyQ8EY9h1rjvEemfZ5vOjUmMghuOQa72wVY05JDfXpWbr2yaJhKyEnjgYNbUk46nLOfNKzPO7V0hAEkihByG6jH4c5orQfTyrg7AARkZFFXKVNu7N4xqNHU2+pQz3YdjlF6CsfWfEb/aSpYiJeF5wKw1MvlIysRGQNpB7epqCaK5cMA6ygniuiMlaxgrtnV6H4gnmu/KkbfGVJNXdZddkEKtyCBgdzWHo1n9gTzZnDTOCNo7VOL8S3rzBlCp8u89M/wCRWFaLbsjqpvl1Z0ljAFjXIAOKS5tCzbCp2A5JNYi63+9VIiWzwX9fpWpeaiZYkSNgCRyetctSlyRHGblIyNZUkoIx8qAAj2oW2We1KBe3GfWptriX5vmVv4sVfit1ihDthUY4PFec7ync9KE4xhY56EGJ8AA4/hetSFFmPK7fY9qzrgC21HBwUL8CryTCG62NyjDOfSt60bRTCjV5m0i21mbd0PIRjgMKnjuREhUqVlxww4FVpdTaO18vb50e7Oe4qv8AbIJjyTg84waVOlFe8iak5vRlK5mvLq9LzyEkcDHGB2rRtXdIikwV09+MU4Wn2jEqqUUDG5uMYqnNciR3WMghTjjvXUveaMnK0TULabCnmTTBBjJHXFZWp3Ud/M0EYHkgAIPXjrTb6AyWKTLyCdp9qhsoxKRE/DD7pNbU0kuZGbk37rGWkfluAcgg5HtWpcWnnsZVHJUHp1NSG3SNBJMNuOpUVStdfjgulLRtJAxKn1x64+tbJOo7mMpqK90kgs2wwAwyHI+lP1C6eK7hhAG1lLc+tW313Towzxq7OOiFT6d6zdrXxWVvv9fxpxjyasynNzVkXbSWO5tgsilSBg5q/JI1nBubkLxn2rHKPZS5UhQeoPSrU+pqtqY502j0POap01LU5ZzsXBrIZfLaMFSPWlt0W6YlUJRQTljwOK5y1kNxKSqsIgckkV1+mQmaDyw3lr3NQ7RiYt+9cw723KRROuSCcH+tFb09miKYwwkUHPHvRWEo2Z2RraaHmd5Bcaext3B2D7uehFVkmlLAKzbs5G0dK05724AWPG9AcANVdWllUHbFHnnrk10RaSvFhTU09B4vbl2YbjI2cAKMY4p8lrPFZRMSGBO1gpxg0W6BRsRwxHJwKuI6NbyQSnbnkNjoRW0WpbnS6aS8zPtkYtycc9fSujt0YmMBucjPFZsELb9xUHIHzA1q2waI+ZIQFAPJ7muarFWfMQtH7prLAE81Dyq8g+tUNYvRDEkMZ+YLnj/PtVZ9YjEoYuADwT7Vg/bH1G6mmBOwHap+lc0KH2nsaSk9upekk+03MLHovzN7mp7qNmVZFz5i8darWo/eqjDGcYPvWzDASpjcfMD+YrnxNRpqx10IKHxGJbyy4EmSM8H6itK3nJYfu1JPfbmp7nTTGAyjjIOP8+1Nt7cxSBlOF64PauGVd82h18sZRubFsVuIzCwwGGCPX6VjDTmgnZHz14yOa6C0ijnUY4I71bureRIQWUSAV3UJ3Wh5tZtPUxhY4t/LPKtzimQ6XskBHI9TVa41yGzucsXyARt6ikfxHJcpi2gKccu3FdsKbtdPQwdTXUt688FvYpAGHnEkkD0xXPyafi3iAAB6mr8Vu00pkZd0rYG41avLYxWOcHc549hVNu6jEnnW7MY2uJFOMrgY/DrWvYWhhJjbkEBlPtTIYzcWahVAlQ/L71sWiPIirIuHVSDU8zcuUHJKBR1m33WMUwHIG1vzrLR1kWPfjgYOa2NUl3W8tt/dz+nNYlmG85SQCB2I4NdM3yxR50mpXLCRoZtqAhexHSunsGRYFX8+axTdJFHyoDH8qs2j+Ywy21eOB1Ncjqaj5XY3Y54UlVVClc/Mx55orGv7nakdvCvuaK6Yzg0uYiUbnHzqssjMi4jUbVwOtUXtGigwfv7iw+npW9b2ZfDyuxwuQvaqV8jPeNgfIh2j3rhhWSemx7VOjeNupQi8pvmU7D6+lPkhlkQjzS2eMjpTvsmPmA4xVq2QY+ZeOoxW0cUnsbfV+XVlAK8En7p2jOM4HcfQ0k1zd3ACtOSvbHFXdSXyDG7fecEDjjniq1tA2N45wcEVrGV1zyM5avkRALfY8aSEkkdT3q7ZWxVyQP3ZH6iprqBSidiACDS2ku2UZQlvY8Upz56ejMowlGpqXXsw8ccyZyvpWpZElRuI/GprS3E0O+PnbyV9qhvohbMkhyFkbbketeTKMm+Vnc6icTVeRWAzCHT1HBFKLaFuV4z2rPtbhiAG+YevetPyC0TbHG7qKfsG9zjdZx2J7eNYnBKH6jvWncL5unyCCXDEfdrAtJblDtl7HkVfuLgLCGUkOARxzmuujSszlq1nPQ841NJIb51II+bBzVyxjaXcmfnABAPerl9F9pvpHIBB7imW9mVdTGSD2GK1qXi/dLprmjqXraVIiAFOemPStW4EVxHCnAKnoPQ1mzEQWyOFBlYkD1qraXjlwXB5PT1NVzaJ2MJatrsasVkttNgNkFsitSCON1Q9GINc+9+ZLkRA9ssfSrE2oY2Ih55xjt71tTjZ3ZhObehk3NyZdVuFHQEg5+mKW1gjWYMxP+6ehpsUayztLjJduPetSGCYkKyK6fSs68m27HNOSTWpDeWAnTKcEdKpxu9n99yxA/KungtV2YIIx2Jyay9UgZF2ogXPJOK4Zxd+ZHXRqJrlZmJfI0JkdsOeoI5FFZtxYuX81mb2GaK1jiFFWNVQlLUuzTi3VIxzI5wane3SYxhSORiud86WXLO37wjg086o9uYgGyyYLdee9TOik+VHbRnK1zXe28tmBH3X5+mKmgtEjSXccooJyPSs6bxFBjfKHjc9tuc1RuvETT25trWI4cgM5GMjvV06Dt5Gk6zfqSai32qGM/3Dj9c0W0+x2BHDDGP5U+0VZYlU5wOtOubYJIZIxkY4PpVOstaZcKWvO9yzNGZIFZDkKOR0IqOCOQbWDnB6g0/Tt2VUk+/oa0LuAQFDszGRyK5HOa0OxqKWpe065SMA9cdQDVq9jW/tdinG07gPesdVWDE0ZLIf7wzWpBdiWBSsi5z908cVvFc0dTz6rtL3THSd4p2jPAHY1q2V4fLYE9eBS3dlFMfOXg7cGsF7h7eZiO3QUqNOV7HNWq3WiOle8ASKTocbW/CszUL6YwoYB/Fz9PWqS3scu5GY7Sc8dqFleLIcb4z0YdRXXytbHFTevvbkdtcugyTkmr8V35rAZx9TUKtaSuCQQ3cgUuoWwgtFnDHys/NgZ/OrULK7OmTlLYtS3ELOkaHeRyW7CkURbwUGcZx6CseO8t1bltv1FX4tSsIVyzs79hjjP4VUbS0SOd0pJ3Zclijs9NmuJAAWYAetZAZ5GAGScbcCn3N9Lfp80e6JSPkFSWsiL/qyyt6HtROVloRUpyjqkaVpZfukSTAx1HXJ/pWrCkcQ4YhR6nrWMlxKv3gR6E+tX4rjcNrnCmuWUJS1ZyOnKT1N23liYqscfXrxT760huYeRhhg/WqVvdQwEKmCe5q0JSyMxIxjI561CV3ZbEWnB3sYt3pWZFIGUx0HaitY3aoinG5jzjFFQ8Nd7HbDHSSseWRJljnLPnHNaIsUSBpHICgdTRRU1dZ2PepO0bowb2JpJQFB2kEf4U6O2x5Uqj5TjNFFbObikkKKvqaKk2bLKMbTzk/StFfL1AocHpnC+tFFaSipU1J7kRk1J2NCKC3glCPjd/eTt9at3c0clqEbBKnAZeKKKylBKNxxm5PUosVeylRsbgMj1zWdZXj71Rjz1x3NFFaUopU2YVH75upeFQEI69j0qpqFj5uXRNpxkg9KKKairXOeUrbHNysYpCgwRnJI6Zqdbu5iQ5C46/NRRXTSehpOKTsWra4nmI2iNsHjsBWhcX8dpps0TL5ksq4+bgCiirlrKxqoJI58RKQGLkknJyMg+2aljSHOFZlJ7HvRRThrdCkl1NC3hG87M5PAAPX86fcq8EpGQ209VHIoopVYrlUupVNK+pPbXzjurj9RVxla427G2t6Giiueb5XoTOlDmtYlhtHtSJJHd/8AGtW2vhuVOpPGMUUVk1dXOOvGLvdF1Vii3NtDSMOMnpRRRVwV1dnhVNz/2Q==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "....................octave 1/3\n",
      "....................octave 2/3\n",
      "....................octave 3/3\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "....................octave 1/3\n",
      "....................octave 2/3\n",
      "....................octave 3/3\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "....................octave 1/3\n",
      "....................octave 2/3\n",
      "....................octave 3/3\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "....................octave 1/3\n",
      "....................octave 2/3\n",
      "....................octave 3/3\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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5celab6cZoSNvzpz+FRKSp6NGippu9xm572GO4xmRQA49eKZHAoIKHjt7e1WrGExNggjJ59K1TpJfEiI2TzlDtJrn9pzKyLkuR3Kn2hoYULeuM1dttQ3AIxBB7EZrJmYXJe2RWjKdA3UmqiRyq+CSrjsaycFtIhyvsdb9vjwYkC474FZ8lkkkxdBtOeRj265qrZW08sgIVl9Q3euga1aK3DhfmA/StKcb6I56klDdkVqtvZWq+aQCec9zRXM3V+098yysdqjaAKK7UoxVmc7vPVMz7K0zIJZf9WnPI61SmtDcT7tnVsYroreHzVjRmzuYZ9hircmmq8aOgAYHBIrkq05N3R3UZxSszAjsRhsLwinPFZJt8XW4cxyrkfWusuttpBKqkF3GMmsxLJfsK7ASYyGFVGLhB33Y3UU5rsZb2rNIHUEP3xWvYeZDhmyMdamhjT/lpEx91/qDVi4hJtCIo9i5ycnk1lFTluy6k6cdEjTtZbe4i2khW7EjvTZbU28yzRtkHhh6981nQQsY1kRuozj3qeWSR7bKknCk4+g6V20o8x5tVuL0ZdmvYjDiRcgDr6VgXM6yziNSCScZrJOrGXcrNtGcENU8F1EgJiDSTNwGPQV1pcpjCDky6sELxmNum7nnrU7TeVLEkn3T0/Cse3uSzbnUk+nTFam5LuCNHwHDEg55rNRcnqdduVaGkiQ3UZIYbmG0006c8cxlXoQAaxpZJdOmdGbbhdwU9Wq2usSADcSVA5B9aiWGUmaRqzidHbpBJHtdgsi45rB8U2ZL2971UnaT9Klh1lG58ssfTpmnXMsupwNC5A3LiNR2qklSkiox507lCweNcK3VjjHvWsJ0UJIODjFc+gZGyRhuh9jWjC3nIVI6jAH05zU4ijf3kRGo4vU2F8mQ71wG71rWUyBdmQAe/bNcjO81lcKytmJxxVmLUPJl3hiAxyRnpWEaVthVJuSNO+0om5aZOCTkUqWquoEifUU+LUFkKgtnOeT9OKnaZJbN8cSAcYPehYe7uzCVdpWRHHbrEQY34PIzWjFcJ5TLIcgKePeuNOqyLJsYnIJNXIb2SXoQAO/rWsKavoZVJNq7MfWtPa3u2eJz5bHoexNFWNTldWDsrgdQW6UVpKldhGfuoi+3JZgRq2WGEFa0t60Gm7hzIV3YNchpwjd/PuHHlgggHqxrqCv2yDag5XsPTFOFGT1RrKskc5/aLXc5Lk5DfStO3uSspjjQPjjJ6VRlsvss4APLE8Y7U4yRwARqd0g+83aorU5OWhdOoktTamA8pZSADnBA6GpFuEO6NjkEVz099JIVjQ8KO1TQzmby36MPlNcrVjoUW1dmpHci38wZyFPQVm/2zHmbyWDgE4x2NVdQujDePCG52knvWZHHujCkfxZJ6ZrtopRjzM5qkeedoiJGWleQlZMnt1FXo1ifaUJDDv6VX8opLvA4zmreYowrMgZPUHkH3puSvzLU66VLlSTJfIlLbmkTnuF7VLBJb2sglkk3kdOcilins/4W2n/abJqK+nQyhkhEZxwx/iqfrC2OmOGtqTXcj3t2LsozLtChTyAB6VAkaghQxVu4fvRZkTyYWbZITgAjg1cm87ymTakg74FS8TZ2Y/qy6EMMwVsS2jED+JDxWpZzRnCwJIT6E5xWbEjAhkyp7qamnvri0j3AohPAYjvThJTeiCVOyJ9VSOJonDohfgIw5/CqcV20L4xk9Kh81bl0aaYeYOjfw1OsLBeRuHqoxXRsctSlfc1IGiu9quwCDtWPqMoi1KVEQiA/dNXIUxh1QgdOetTz2gugjMBlQefWs5SUXzIx5FszKttQeMiNnyAflOa0l1lIFy8g2msdrUpKEYHnI/GqhkZohHMu5F4yvatOaCV2ZOi5OyNaS5t7xtwRmP8AeTqPwpI/LByHYD1PSsdVZAWhlH4015b6UjMiBe5IzQvZvVMzdGe1jbupb24jEcQ3IcgE84orKN1NbwhImJ5+ZqKh8z1iTGCS1MKV5YThCdoPy56Cr1j4gvrFy8J3Ptwd3Q0tzDg+ZH/EMMMcflVRLOSSQCGDLH0PArop1Vy3TM50pJ8rRsf2vNeEEqBLt+Yjp1p1t8yDJy0jbs+wpkNl9ki8o4MzctjtUd2jQybEcqVAXIPWuepPnlyxOmnS5I88jZWz3YcfxEc1NdCHTodzsAzcgVzqaveIhRJFAxtBI6VXDzXcm6SRpCO5/pUKgl70huu2+WI/zmur+Sd84diAPY1cgIRzC65PXNQeQQhZfw+tXY0EqxsuPMxjGetXNKSaNaHuu5chtjIrR4z3X1HtWa8ZVztYjkg/WtNLyS2BRoxG3949aatmLsEwHO48g+tcLk4adD1YK+pUhWQMA6B+e4rTubQXGnlwCWjIPXsan062beiSoeuKq3OofZr6W2VV2q2CWyQRXNeUp3S2OnS3KijChWQHGMGtFJ2hbzVGRgAg96mhSGYBiFj+rcH8ag1PyoYo1gfeQ+ZCOmKpVnOXLY09mlG499dgiBL2DM3QFSAM1ReZ7wsDggncVx0p0UC3UeByTUtvatBMrkcqRmtVUivJoSpJbdSulsYyGUZRqvRM8Q+VgDj7rdqmli2SHyTweVHrTZFWQpHNH5bk4BBxWtPFS+0YVacGm0LHe3e/EqjB/ugcVr2hjdPvkZ7Y5P41kxReW3Eo+kg/rVz+0bWzUrKjM/8As10e0Tlax5lSkrXGa0iWao8iYZ+Yx61zFxG8EgKEhmy2PrV7Ur24up4pW3LEhwqsM4p6QfaD5h+Ynqe4rphTiloc8pP7jLSI3B5RVb271Z+ymGMeYdqnjJ5ArRSxKxk45XvVhwJbGRCoJAzgjvXK7X5bWN3O6vujBaZYGRYBuJOWY8jFFVID5jNvwHXI25oqJvldmZKmqivYtSWJuIRKuVf264qOJLtMozjGMZxzXXabppmUkr90elRyab85OMHdwPauX2lROy2Oj3XuYUJjtB5srF2xkADvVK6mDwtK4xITkLjvWzNaCS7m2gFEHT1NYV9A9tfleSpbcB0row7jzXb1MK/NKNktCJbQnaMZbbn8antovM/h59MVegti0YYHLAZ49qhRsS7tpQA9un41LxKldG8MG42ZYVUMe142dh/d6n61VvIZILVc8Mz5C+grXimkCeYI1lGOCO1VWja6uDJJ0HAHpUPFKK0ZrTw95WM633PEySEsATweSB2qQB4drRTj5fXrmraWp3My8MlRz25u1Q4GexArmliHe/Q74UlsyePUL5oiglyD3xzSR2hkHmqcn+IHvUmnwGMhX4YHAzW7a6aVlO1SA3b0rBVea/Q35VF6GPcWe7S5So525GarWiAx8p2+YCt/UPKgu5LJWUnaHPPTNQ2Norz7MAE1vBycLEOolIoEQ2qh8k5P93rVpNUtZrcoYnSckKGJyMVDqNszSzW+MGIgp71TitHDkMp656VtCEftETm5bGzBCLgeSwww+6wqncXAG6GYBsHhu4rWsofLCyMWXb3zwK53WFV9alaJ96nB3DitqVNTeuyOOrNxjoX47cXA+V1I9S1ULtxFeeQkm4BQckdaSGFwMjOPrViW0E6o54dcjJroioxd29DBptWC3tmmjYgbh0Zfakjt5LeQ+U4IB+6e1PgLwZPmbcDHTNH2ppHMoAYZ5HQ01VdPVaol07vU1bUhyCynkYYYoljWAuoCkEdDUCXBVAwdgh9en51Bd35aWIDl2O045zWskptSRxVFyp2Odu7N4b5pE3Kmc8nNFdNcaUZVDSfwjOM8ZormrXcth0bcp2um2inAVcIRmsrVx5LOsMY3H+LvWrBfQWcaWySAvgBjUt9bQOEuMgggj9KmdJtaE06nLLU462szDbNLKPndgB/Wue1uHN1kDlRziuq1G5CQqw5VclR6k9KwkjinD+fMvmyE9sYPtXPOPJt0O2i+Z8zM+zMu7arZHT0I/GnXllJDIJ1JKN1B6g1egtPKmG7nPRlq9qFoG04yIdwHUj/CuOLlznoOUVEwIZZBGwizkHkCtCDMiCUDOD82BismGTyLtXZsAnJI9K0bW7EdwyE8HmuipQ0vYyhXu/M1lt1MxZACrpg+1ZywPBM6kZXPSr7SPBsbI29Svt61Z2RXSBlwON2Kh0eZWQ41uV6kAygXcAQfUZqN7+VkkhgkMbhTgCpriVUtAD95HJ/CqEsIMq3EPKnrjtVey5FdIunU55WZjIkpnZy7mUMfmJ5Na9tezxsrqF3jru/oac1llxIgznqKmks9rIM43j5SKrSfqaSaho9iyb63upszoY5eAW6g1bjt7cYLSIFPG7PFcokkglIIyCcHHbmrV5BiBBjKsNwrf2FmlJnM6ztdI09bv0SxWGzbdIr4lZD/AA1mpCLkAqxDH7uetLZIrYQj5T2rSh08wPtxmNuRWzairR0Zg3e/MygEukPllAoYYJHcVrWlnvt3duMAk1HOJLYqyLujPcdjUsV+sjrC7tt/izwBVKLk/e0MXV5V7pjzK/7kuvJOG+lOgg8qcq33WORXSPYRXCbkwcDPFUzbYhDMOc5ArWUbqyJjWtqyktuyJMiDJVc4JrGjl2lJ2XDHnIORW9qU0cEjIGG4jB/lWNBbeZAYj8rA/Kad+RanPJuo7I1bG+hkb539h8/X8KKxYYXW48to/wB70FFEpQvqzJRkthJfEbrJmNMqTgOecfhW7pniGS602VpDyvy9epPSuBtozcquDhiB/KuktkS3hjtYnBIOXbHetLXJSfU17wvPDFCDz95v8PyrM/s2WGUMrMyk5x2rodPtVuHEZb5sZA9a0ZrYRwNFtG4DJrz69KXMd1GqkrGdp9kXAEuM4zT7oKImibGRxUrXKw2e8Y+ZTj2PauWuNSme7wnzgp8w64rKNK2iRpKq76sy9WDRQuqghwcAio0EqxxbyTKq9eufrVvyWub0mRcKpPGatCzZmWTb904NXWrKKUGVQp3bn1Eg1bbEEnVgMY6ZFIZbhHSS2cAYP8XUVDfwG2K4JCv0qtApVwwzgnr2qqbgo80TadNy2NQTzuPnUg9+OtW7QMHwhZc/3f8ACq8V40ERZk3gdsZzUsF9JJKxSNI+hANTNtoum0tDp7OyM+0BQcnkngVj300c94qwMGWAkZB6mo/t9zJL5bSMu0/Mo4qhJata3jSJwj8ge/eohS973nqTOq2tNi2bFmfcq9TyMcipbxUFiImP71eQB1Aq5Yz+eMMACRj60+8sSJd5XKsoFXGM1LV7GE6ytZI5633q+doB7kd63bS8dkUMoYZ6UJpwODjg8GrlrY+UwPf0qnKU5GcpRjEnfEluXZRgDpXE6rfgXPlpDwoOWB5/Ku81KaO3svL2jfIOMdq4j7H5lyCMMUBy3vXdHa8jiUr6INN1i7hmEimRIR94MOvtViTxBduAsdvyCeSfy4quIWO1nztJ/Kp1gWO+EbYG4Ain7Vte70KcdfeK0CPPOZpWLyk/xdBW1a2izoSPlcHkEVE1iWw8YAbuD3rZ09GSEeYgVu/vWLnzOz6iba1RiX9q8VxGpG0gbt/tRW1q8H2uyQxjEseQB3IorZ0CHUkzzMx/Zp1MTsUbJGRg/SrkWpwxQbDE3mF8hg2Pr9a077T7ecZiO1G+ZHHODWUdKlD48yNQT1HP/wCqtITsvJnSqTlsjotC1ARq0xbodqk+9X5NV80OFJC9Sa5lVMYWJDhU7scZ96c1/BbqBu8xhztXpmsqnv6IbpOk7y0L+s3z2+mogOZZThR6ds1jCTyoyMEt1JHWmNdS310ZZDkgYUegq0bbdEGBxWU+WirMhc9aV4lvcokSWI7lcBq17NElQr0DDA+tcxb3DRPsKhsdA1bdndoh3MSXOAq4wBXm4uLbujvw9+Tle4apZmWFVblk6GqMFmzZQjJxXUQRLdrgYJqGWxKJIoHzhSB9a5eefLZbHVCcVo9zmmWSPAVjsYZ4NW7MFzhuD2qzFab18uQY2njjpVmOzMLZA49c1CrTvqdEow5R/wBjMmHH3wAD71P5CTwiN/lYdPSrFvcRRyL5hC4HXHWtH7LDcqGCEbv4hXpRmpRTZ5FSTg2uhiQwi3kGCMjqc8Ctey1K0uozHLyAdu71qjqWnTJCdrkx456CuNv7+6tS625G1B34BOa6KbTdjmnrrc9FmMVtlRyuOc1nSanHbqCzCuIOr6rOuXmJJ6gDpTFFxK4ed2Y9hngVt7kEYvme5u3ery3moO+7ZHtGBnk/hUtvlUxt27upPU1Tit1dV3qAV6GtW0sdxDkljWLqSm7RNIKCXvDntlW0GR1G4D8arXsHmRxOGx5Y5qTUrmSOQbQPLjIU49aW1In+Q8hhyKy9ryaRNlDn95jtPvkOFkHTuRW5EQF3RJvY9AKxk0ySJw3VM10VlH5UP71flx+dTCcpaMitGMVdEEqTAxs3ynPKCiqGq6rHDJi3L7geQRx+dFejTrNRSZxum5apnCiaSG3VonzGc4Vjnp6VCZ5WON+zPeiisqc5Rlyp6HfCclG6YeTI8cYUna77QSetLJbfvpEVcAMePQUUVtObtcUvfd5aktrZOZAAMY59q0GKvdJEo4HLfSiivLxFRyvfodlCnGK0IZ9OZ2LqOKuWNrKyBHGT05oorjdaTVmbK1macUbWbfuJDke9aE96JdlwEyyAFgOKKK6MMuZNM567t7wskUMg82Mc+lTwQPNHlVDr3yOlFFY2Vr2LrylFaMhkt0ViHB/DqK0dPQxYfcWXtmiirpK8rnPKTdO4apFJdxnc+xe4UdRXnmqrG95JaxjaI/lx3J70UV6fKkjgTblYdBEqSRbx8jN19MVoR2u1gFAfPY8UUVEfeWptVioq6LlvEkZy44Har8VwHCxQKQSc5NFFZT927QQV9WJNBEbi4WXiOUd/WqsNm0Mq7SSoPGKKKmrolI2o6rU6K0lATIw6dHBGasttSFvKUqCOmeKKKKb1aMaq1sef6zqMk9y0SKoAPzEUUUV3U9jnqJXsf//Z\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "....................octave 1/3\n",
      "....................octave 2/3\n",
      "....................octave 3/3\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "....................octave 1/3\n",
      "....................octave 2/3\n",
      "....................octave 3/3\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "....................octave 1/3\n",
      "....................octave 2/3\n",
      "....................octave 3/3\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "....................octave 1/3\n",
      "....................octave 2/3\n",
      "....................octave 3/3\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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lvlRhuCKuWtk3DOmGHBPrVqzuI2+UEVb+0R8g4weDXFUoS59TVYm0bFbUbD7Rp+6EbmTqo61jWkAZsSRtuHSttbkhyofH071KFV2YptbvyOaJU29CI1uW7Yy1t0Vl6EAc/WrOqWSDTJGjDBuDwfzqlFL5/MTYKnBFawnJtSkihsjkMe1dFGnYwqVG3fqeV3IMV0/bJ6mit2/skmvZVhTaoyAeuTRVSrSTsXCFO2pbFpbysFVwD2RuDVkWsNknnSkfKMqoPJNYsscpuhuBBfJAq7EHZ2hIztHNP2ailKbLdS75YGCY2uLyaVukh3fjVq1S4T5Fdht4xnFWfsht7naQSh5FayWiyoGX7wHcdaSr3lYbpJRuFiZsYbI/HNVtWupLMjzEbB6MDxWxaBVxu+UjsRwax/GkCSQQTwSbGzhk7Gu6lFyV2ccuXmsZo1KWc4RGPuKRLG5nbGQi+pNZlrcSRYGSB3rWSVzEXJOB37U5SitEWqZfjSGxgCo4aQ9Wp4fLDBDH0z3+lZMdwJU3Z2uPfinRzNHs3LuP95e1c01Ju/U0cGtjZEsTq0THO4bTjpWJc2ktm/ALRH7rDkVZgn8hccMGJ+bvW1Yxx3WYwu7I544FaQcpKzL5U9znE1IW6DeeFHJrRttYjkIYMDxwehqprmnR2lxPbAq4K7hj3rJt7J4JAoPA6iqpJTvcJUrfCd1FqCqnm5yO9Srq0O8MHAIwc1yU8s0dhIqhjJJ8q+w65qvaRzyEAuAO5PanUUYmDpN7ndHVI2IVHBY9AKxdeQtMt3GPlb73selUbWVYV5kLEHBI9K1bYm7tLgFD5QUfM3TPtXMld80ehvC1uV7GfZXBiids/MRgVbnlLQMEOXABH4VQubeS1ctGu9euKdG20qQ3zFeVNdN41I+ZzThKnK62GPdSLKjjIUipItX2Tlc9Km2xzJ9e2OhqpdaOZiWj4YHIx6VzLDtO7HKupaWLyXUIuTLkpuOSR0qzLeGaLBkRFH8R7VzUkU1up3ttA6lqjkgmmKFX3oQOQcYrosoq5m4vQ3EvbZCEjbcIxyx70VWtNNXarZyp4PNFcsoqTvY6YuKWpr6hHFLHDOuFkXHyj0qJNiSADOT1JNZwv/MmeRzgfwj0qrPquJ+MkevrWlRR2ZlSjJy0OkMcUydvY+lNXNvHuHK9CPSsS21Lc4UHKuKsi9OyYE52nP19azp01KV0azc4qzJGvdl0XimYKR93OQaz9UulvGWEnjGePWst7jbcSMMkdvrTEZ1YM4OexHNei5KEbHPCPM7lj7JJEykxkqRww5BrVsRAyskmFVlK8+prOaWdoRGgx8wbLdqaS4xvkG3PQdfzrj5feud6TkrEa200JYBd7ZO3Hp61OlrdtjcRH+pppu2X5UVlH15q1BFNcDhWI9utb+1j1NIYZ2uxiW0URzLKSR15/pW1DrMFvbBbeRFA6jHLGsS5gIJw3llSBsbkk4yajQGOMKIWOBy1TUqU76mioSs9Ake4kupLiRGcuTgk5GO1XdPktd7SXMg3ZwV7mqG0N8zKzexbAFPVghBMSsVOBt7URqq+uxH1drcnklnQl1COmTjHbmnRXsZOZYQ/0rMl2vJJy6s5BIB4H4VKzsiri2bYOhWnPk5rx1HGk7e8bAu7JpiqjY3Xaea1Ib2F0VSgZVHCLxXLRThjyFPqpGDWpBrVnCnliGSN8dTyM1PKlrFGfsGma16saaeLppRCACMN1rmmeRmJ2Fl7MKnurhr1DHc5aPOQoGKiMO7AVSq4wAKSVnoZ1E27CR3irNgSru6bT1resZtw3MQrHgZ71z0lq6uD5ZVD0J744q1awShhliqjoa6Ela5hKj1Rra7B5miTtwJgQV2jqO9cdaTSKAhrswjzL5Z+dcY+tc/c2gtRMTz5bgKcdM//AF6wqS5ZW7hGKkrdUXLa78iP5zwexornozJcTjc52d+elFbNWMXBNkP22UnbkAE4JA5qWCInGeVz0qxDp+bqOMj733vatmDTPLQMwypGPoa5pU3JaHdBqLuynbWvkoZj91cn86pPeFmfyz95MA+xqfWr0Ja/ZIGG+Rsk+gFZcRR5ADwwXAwa2hFU436kTTqyJVhGBjdu9c1NCZUJH93qR6ULJJGMSRjb/eB5phmt5JNsLsp9WOc1EqlnzWudFOh9kjkLM5Z7g5J5HNW7VbYRkvJ+8Iwq5OM/yqeGxaZMsuCB95BVfyUxhMlumQMYrP2yvdnVGjpaO4iTXSt8qqDnowFaEc98ACygD+8p4/LrVNbZo4XaQn5Rxz19qrxiRXyC6n3YmsZOD9464Rlsas8c9zEWLLLjoUODWSWljfiQoR2bOa29NIkkRZCA+eGqjrqNa3pieMA4zkd/wopVFdpoKtNrZ6i2eoGNtlxEJVJBzip7i9icoka+XuJBZhnArLjnQKSynjrt/wAKv2vkTsFb+IYDYqpyhbYmFOTd2RtFNjGFdfVen+NPt7aTbvQspDAMpOetRyzNasQnJU4JxV3T9TRGxNAWDddvXPrWVpR2Zpy3Ww+O0jmdUcBHPRu1Yr3UizshAO0kccVtX+oQSMgifYqnOMfMT6VmtFHcO0qgAn+6f6VrSquN20Z1KN9Ca0upUwYuf9k//Xq6dTjwVkgwe5UYx9RVOKExthsjHIYVHdESSo2zDMnzEdyOK6YTjNXaOapSZd3NM+YiGJ9+acLd2GPN2YOcE1SiiZSOWA6qy9qn3zxcs/nKR1PBH1qlJbI5pUpJ3NyzllKiNVIC9W7GnX1kskTRkBtynd9ayIbpphtSQxMvUf41uWQVIf3knmMcnIOc0pRUlY5+Vxlc4+axmtW4ZgD2xRXR6rEsah2HzdQtFZarRmnLfVGBBrFnF+8aRSfWqt34jnuEKxfIjZPHXFc35LRsqsckY3Vp2sHmzEsPlxhfoa7LqK1M1Dmeg1N0hSRuQeM+lXorcOysBnHrTrWBYQY2+YZxirhhhiG4TBR6Y5rnc7yudKhZWQ2/hDWcLI2HDEMvt61VtrNZDn7pHpQl/wDv/ljLwjOQ3U9iavxRQStuimC+zcEVz1KiWlzrpU5Iv2pXTgkssmFB6DvXPzJM99LKzZWRtwPpVy5MKNjeZSoOdp4FS2jQSJgjgjrWNSo0rpXR00qet+pV+0Nb7N48zPA3EkCrUMcc+141KE/eQnjPtV6TR1m+eEh0KhuO1T22mmPgkD1J7VyyqKWx0xaQ1YhDEflKSdmzkf41SvrQ3kgl3b5ONxHpVbxFe77qJbaQtbhByO7d6qWc0qMGWQ47GrjzxjfuNQjJ69CcWp2t8pyM5H0NX7CyMkqKn3iflqSO/wDkLTQq+BknofzFNfXYEAFpCQx/jc9PpS957laR2K928Ml9LjgggEjkZFSwWqBPM3AqOu05qk1qRN5seSrnJz696kdJFlBUkErg+9U+V7Mm7XQjvYWN6RtKqwBSpraMEMrjawGQwHWrkNq0yJuGSv51YmhS1MHmnb5hKij2t7RQnBWuylHqGweWQJSMgFhj/wDXTEZWc7ge/XtTZLJo5jxwDV6G3zB5hHKkKfU5pSbi/cZPLGzuhYI9h/d7XT+72/Cq17J5k64gaJQMEk53E1JcqyNLGBho8fjUdvISGhl5VumexrrppyV5M4Klk7IWC1Z3xjd7HrWrDbtGRj5D7iqEpMCgo3LA4B9vQ02PVrzy9rY29MkZ/WtYRm9WznquN9CbW9XWyiiikXdM2eRRVN2j4kdCzk8Z55+lFdPNFrU4pxmnoc9FYNKpC5+UZLGphJ5WXQdBj8qvwskFx1BjfKHHvWfNbSR3Ttu+UtlQBxiqXLUTLTcHZ7DVkd3LIeprQ5lijz/ew3Hao7aNMhiMN0PvWnEkRIO4bScH/wDVXmVFKM9Nj0ozi4+ZSh0/MhOBhfvf41QlDSRFkH3ZOntXRXU8FvA6Ryq0sgwAKyo4QYjF/EMEe9R7ZUtXqaxi6iEtrf8AeJPFyDw6mpktjE37tXA9KgijkjbvjpW7p0JnBXJGR1FYVMRrZHVTp2V2zAe+ube7JV3Q/d4ParE13d3qANMxOMHHGfypj2/nM6sf3iMRx35qexj8mVd4yoNZyrpq8Tfkjuyp9jY2gOPu8EelLaxFJAh6HpWrNFJFfMyLugPIAqeOxWblB+BHIoVV2t3FzJkH2YvbToB86rke9YiQlHBI+Xofaut+zvGA4+8OCPWqU8ULOT5TIT1HUUoSlFO5Epxb0GWRWONlk5UDIqxCLS7VWJMZIyCeQaZHagphQdv8qjvYhb2pCH7vFOPv6CclHU2bWSxsSHlk8wY5Vap3/wDxMokuI+qHG30HasOOZvMCOeG4qxaXzQSbPwxWsIpXRlKcm7mlbhZQsb8N2yM1YEYtyd4+TvgUkAjmYOo2t6VY1qBhpwnibDr1BHWuiFKLasc06z2KNybW8l8yB1YldrCoRYsDkVjpeL5nzwqG67lNaaajOIhtAyBwT1rolTlFqxlGaaLWpRRx6QZJPlZGG33z1rDiuJUI24K+o6flVmS4mv5v9IfcHXCkDGKZFamBwGHyk4rRWirPc55NuV+hoQIJE3FMsePTH0opLa5lgKpDHuJ6sTwKKy5qnQxny3Oen2sm2HAGPlx3NU47uWNjkEsOobpU0MgeePClIIhwD1JqxNYGVGkUcg5NEqkab5UdNGDqR94W2u4J+JItj+x4NTzQLAnmrL+7cgFWPesuFPLYKeoFWbu3MloJASWjYMOfSs5Q5pWvozVNQjdCNlfnj5wcGtGCMzRrInDCobCES9ejDBrbsbTyGKsAVbkEGuOvT6I66ddKNyKK3Eql8KGHU9G/+vSRzlXAV8gHtxWjGBa3BwfkP5GuX1JmttScJnYeQBWEoOKutx06vtHboakkCyzmWJ1Dk8qTjNSiB8jfGA31yDVC0uVmj2yAH0JrQjjlQZQ5AHQ81kqfM9UayqOGhp2lqrjBxj09KvixS1fzHZVTGSSa5yXU5rdwsgCehFUdRnvbiPa08jxHnAPFdNGmlo2crqORpS6/GNbkhYA2hAAbHQ1bMUcmCrAg9PeuOFux+deorSsL2WL92Dn/AGD/AErplT5dtUStVvqddaWwbliuMEfjisB4pFuriCb5g7Y5/SpV1Fg+CGjPcGrkhjukDtgN03etEZQemzMpOcXcyP7PKnGchehI5qZLIk7sZxwTWta27dMl1Hr2q9Haoj5BGCDn8qXslJ3CeIkkUbe18mDzGPyr1PpUWp6pFJY/Y7Zg3mDJJ4wBUmsajDaWMkUb4mboB2Fc7bSxSEOEHzD71ddKKpxvI55TdSVkILDhSozhcEexrStIFSQBuY3U9ulV5/PhZZYhuQ46DNTQ3xYYMQDex4pSfN71zWLlblsRLZtbyCJhwDwavzR+UitIpIPGcZq7aBJyFZgT6YzU+qxiz0xpQpJUcDsKycnUldMylLkVmZSWqy5EJPPqelFc1PqF3ICDL5ansg/zmiuhQdtzmcm9hfsG3dgHA6fWtLR45V3JOMxnitaayCwxrt+YkZAq4LMC2LbOFBGMVxQjKWjPQdSMVzI891ImC+kUDIB/MVdsZ45IFG8MpGCvcVV1m0mOoNKASjdf9k0+1tWTDlQo/iZm7V6DjGcElucSqtTbexbs5BFLJEeeeOcdq3I7lTGvPzEVyLXADech3Ij7Tjt0rWWRjEjAkEtkn27VlKn73LI2U7xvFmsb5ZRjoelVZbMXI+dA2DwR1qpJA6SvIoyjc/StC1mJA3E+1Y1sPrYqlXSV0RW1mkcm1kYDP3q2hCLZQ5GUP60iGJlyoww646GmyXST2jrGw3Ln5c81mqHLqKeI5tDI1+3zIssIzGR+RqvYzhk8tuSKvfaEnXySeoJGahS1MZ4XCg9cVnWiou6OvDyvGzDyUilG4fIx4IqGa0xjzEI7h07VqLGJY/lCyL3H/wBanGy/dnAIx0HUVrTqPZoio0noZglEcQJuBIo7N2qOSe3OGW4+YddvQ/hUeoxRC3uBtzKi9uKzLaFGC7EG7HIB710QowkuYxdWV+U3odbmtwFtSXYnr0qlPr1897Lh9iZwNpzVyxt1mjCLhGweO4NUEtQsrAruHfI5rWLhb3dzOabepPZrvlZpCWZupPWnCA2shVBuTPPpVm1jSMhDID6BhyPxrVS2E6gbVbj6GsJVejH7O2qKVth0yu73TtU6wQucMCrepFWo7fyXG5QEHG0Cr9zpjNa+bCokj68da5Wk3oaOryor2bWtsMtOoHoKt3k/9oWwhiJWIc/U1yzSQRTYMThx2IOBWrZakpwrsFXvt5zW9NpaI5qjb1Zj3mjEMSwGWOAAOtFdjE1pdAbSCRxn0orOSnfRlQqxithLFUa4LS8v057VJNdJb3BgIyj9x3oor0IQio3OFylKVmcpq9rEJmZWYD+HnrXM3aPIGAzsyRgUUUorknobS1pXKVsFzLFj90w6+9Wbe4kt5DG/zxED6iiitZrnvzERbppWNq0uBMqiM7wOMAcimzswQonDA7uKKKx5220+hpUio6ofb3zQPh2A9fpVKW7MUkuxjsfJA+tFFaqKejMoyd7j7WVjl8EkDJ+laMU77QyS7o8ZwRyKKK4akE5ts9GLfKi9AW8z/VgZ6MO9aE1ylpBvkYb+yDnP1oorSMUzF3e5zAgaUsxwTK2Wx3qlNA1vcSbM5Ru3pRRURm1JnWopGxYzK22SJS57qOKW/hE0puYRtOeRRRWam1Jx7GjppSViDz+gkjUgdzWjbXQjAIyOaKK48VfdM3jCOxr2t9HNxINwNblpEvlkw8Kfeiipp1JNas5cRRjF2Ry+vn7POysqhT/Eetc20kbsMbkI5Vl4oorrpPqec3ry9CT+2X0+2Ma5Z2PU0UUV3QSauZyqcrtY/9k=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "....................octave 1/3\n",
      "....................octave 2/3\n",
      "....................octave 3/3\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "....................octave 1/3\n",
      "....................octave 2/3\n",
      "....................octave 3/3\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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6WGRRwwHPrTbmRfs8rRffQZwO9ZysxYkHgHqfSq7zTJfuhyEK/nWfsvZvQyU+fUuW9352VByD1qNtPhjm3mP5m6eW3B/A1RF6sMmBjd3qdtQy6Op+62amMU2bu61Q9rzZKozgLng0Uy5tRczebAQDIOVPY0V0Rj3MuZI5qG2VynHyAYB9qtR2RVgHBOOMjg1KiNakR7co9bMMWY/lXPcCiFaTlZI650YxjqVrHS4HI55PY1Y1vS0ttMe4YMoQcKD1+tWLaceYNsIODyR1rRvpYrnSbi2ki+VkP3+oNepQhfWR59SST0PL4pWlf5WwM1r29vGADJKST26VkrB5TsUBwDirsOTOA4JU8qfWqnV5Xyo0jTurm3bR2wI2qCT1Y8066uCpVUAEBH51WKuluSAFUHP4VGt2xj8sgbD2A6/jXJWnzvlRvTi4+8TpMqAqnzjqFzT45gpGF/eN0HpWftjjZpELbyMBSaVHCbWDDduDD/Cuf2birIuUuY3EYMhSUbkboMVmXejAHzbc7lJxj0qCK6aIlnJdc8YPSus01PPEbzIFRVJx6npWiuoNSIi2mjgpBcQBwuQyktRb6zIFXKk88c1v65bwpcTRRlSzjqO2axRYxhkUcDIVaWHq30aLrU47m5Yah54BbIFF9qj2F6sIYNuXcPpVWKD7GCWGAO9Vr23a8n+09SRjHoB0rpqySRkqd1c04tdLdVI+lXLfUHuGwuFPU5Fc2kDhSvYMDn6Vft5Xht9mwnHJ9a45NvZA4JaxNy8t/wC0LLyhy6cr6iuaiV7Scq4xtz+ZrotGuJ55F3KYoBncTxmmapaxXMTSrwyng+tEpOLUi4qNS8Sol4BExznH8sVHNdiZFZGycVQdXgAyMg/pUSMhfMb4I6oa6lCFWN0csqUqcgnimmnWdc4U/MtILgodr5AZSc+9aKSBlx1IpzaWl7HwcHqPaslhlDU09q5aGemtMoBUkNjGfSih/Dk6SbuSB1FFT7VR0SNVh1LVnWPYQyAYIGOntTVb7MwyAR3FUItTGeXBzTL6+dbZ5QM7ccegrWlRSdyKkpPQsyPCt00kTbS3UdjUd1qBa327sFjtrnBfu9wVVicnimy3hmm+X7isec9a7U1BXZgoczL9xYKz+ZbKTzkiorU+USrLkDnB+tRR3pVly4GCCQDURuwbvzApwAfl9c9q4ZQ5nzHZTbtynW2yWstnOJWwJIyoPoa5IwzRSlR8wU4XHOaEvbl41RvlUenJNW45JnACyIvsRgmtI07ayNFBvQiS3unHzhUHv1qwmnADLy9fTimQzjeAzkHpg1cKRSoxFyPMC5VPU+lVJrZFqjbWwW0OnwTRyTBmAOQCeDWpcaxAYi0U6FuydK5hGndQZSsXbbj+lTbolGMF2/KueUoX1NHRdtEVXlnDOTG+9mLHdzjmpbBle8H2qZEVeTkUx44mb53YE9QD056Unlx7MIp2467uafPGOyM1Rk3eRsa3IbkxPaDfGByAetUILyZWCuigZ6YqKZ/Ni8uA7VAHzN1qOJWJwziTnPHUfjV1IqXvJkpS+Gxrm9tEQNLEJH9B2p8d/byNlNvPquaxNyA5Uvg9yc09ZSHyQFUnqDgAUo2sKUWtEjp4ryBf9Y6H/ZUY/Sp1kiv5RAoKcE88Csy2ms1RVgkRnP3i47+1Q3movCRFbpiVjgmsk5SfLbQfIoq/Ug1iSKPUJLaNw2wc7e3FZMYMgzLGcr/GvUU5LR/NeSSTzJGOTinPFKAR0B4wR1q/hdokttvXURZwmGS4DDqN3X862dJ1DPmSlhtUAY96yo4E2rGkeWA4JPFPED7gucbWBIWtY1OjIqUlujvI5IywyAVcZFFY6zt5ajnGMjHYYorOpRu7oiLdjj7UTwyEzA/L29a1GvxHbyeYeWB4P0puqTQQ+UqLmQ8tjtWJN5szZ4Cx/Kcjqev9aunKyvI1qU+aVkNjkMjN5SsSepA6VbtzC0QjkjIYeveqqic989yPSriSRRsPOXI/Krk23zdC400vd6jJri3tm2LES5569BUUd9LuyNq+gI6VJeH7SxeCMBcY6DPFVovNU/LjjrlefxFEnFrTU2pwaepbEUkgMnlsO5ZTwPwo863T5S289yMipVupjA0cxQxspBAGM8VShkjD/LHn0Gc1nK6jdG0Y3exqW00IxhWb2PWrX222x/qzG3Ynms4yW4jHmQsv+0pwKliCN/qyrj0PWueVo6yZ1RXNsKxPXKyr27UJeRIQGhKkEcHnNTG0WVW2hkdeozWfMrhirrwO9EYQqCqXgbNotrdIFRwrknOffmkvLCG2hZ5gCe23gnNY0cLoQ4yFP8S1aZHmTAZ8diWyc05QjHrYx1k9CNUib+JiB2bnH5VYjTyWWWNVfHYHrSwBScTRqT/eHy5pXiilusxShRjbt9O+a5+eUdbm3sk9GiCRklP7yIqeoxx+VN+yyINyg47hjWklk2Nkq9Rw3YiplCWvkecAUfKlTVKu92RKkrWRgmSBTh90Z74zj9KspMuAAA6ZznOT+dVZVZZpFUHaGOFbk4qxbRqeY8E+ldDrJGP1d2v0NCFLSRQkb7f9k9ama0jiiaSSVV2jIXruPpVb7N5kDOoPy8lcc1UjulLgFW/4FyKG1LZmLg0y+hildjs2o3cdqVJxCjQpF5gB+961GLi0QeZKuxR1bdxT4r+0IDKiyYPBPQU4Qb6aGU1oa2myIzlp1KZAG00VkJcCZi75Cng7TxRW7nbQz9mc/qGoyX87TumzPTjkCm290v3JlypIw69vrTXWQsUkHzDg4p0dplsoQc9RScovSRvShJak8kCg7hIcH2xSi8MduyrGsvHBbrV64swdEJ3bXDjAHcVnQRlHy3IrJ2irv7jpSUnYdA6TsCyEN7dRWi9oRCZeZAozjOCPxqGK3gY5SRSB61fleNbGS2DeY0qbc5+6Ky50vI25TJLLN95RGMYHOcVKLInkgMCPvL0NUreCSAbGLEL61dWRoGG3jIyOOK53N31Z1KFloguIpkhSMHgtkFh7dKhhWRSMYb/dFTpLLflkuCN6HKFRjH5VchglC5wsoHrwazlWb3N4QSNHTY0uomSUEHYQWHGOK5h5pUlZd6SKpIBH1rckaV0VD8keckZ5zVJ9NDN5ijIPaqjUSjpuZSprmu9iqrybCYSUOM4HQ/hU9pcEOGHAPUHpUv2YxiJguNjHj1FSW9mQ+VHHpUyrXVhOmixqBRrOKaCJuTiQ56fhWaqMrgg5FbF4UtIYlA3GXop4qrE9tKfmBibvuHH6VDrTS0WhKhFMls7mWGPAAdV/hY8Yqhe6oLy7DtGUC8IqngVq+UiBdjAqSPnHSs2WyWK6ljbOCdykUQmpXcug+WK2HxxpJ8zKfr2p7WJDCWM4xypHcU6zAt5MOQYm6iqgv57KXbGcDOMEZGPpSVm9BO/Q1PMkiAZQAxUjJ9+KxRFLBKVl55znHvV0XU91L5koBXoQoxgVZVkaMq4DccMOv4itI10vdZm6VldEa2xaIlQXQjOB1FZ7mKNvu4+vH4VvQt5bBouvXB7/AJ1m6qvnId9uY8HO7/8AVXTTqLocU4O+pmy6gp2g2zFR/cbA/GikS23YXeUY9GHQ0V1e0pmPLPuSkQ3O0Z2SkZwe9EdqySKxZFHXJNZkM8iYQuCehOOlS3C5kjTna6Y/GpcorZ2Z0U4y6lqfUQLgBT5kQ+UketWTZrOglt23Rtk49KxobRllZfUAgj1q9F5sKHYcEA/h9a55tzejOlRUVsXItPkUH5TkVHPLHBdmJTyQDkDrVP8AtC/uY/Ladmj/ALvp7VdS0F1bqwAEsZ/MVlU5k+WRrC1uY0LOGG6jIDBZR2bvTZtMbJ44XFVID5ZHmKxX1Hb/AAp48QzwX/yRA2+0L5bdx9a5XCa1RvFosQ6c6yhgOlXbiA2+l3LM2yQITGe5NQLrqbcw2+wn+8c1k3F9d6hft57D5AVUAYGKhJvdmq1d0ihb3U8x3GRg3Qqa1be7nhCup4/iGMis4QYk8xBjB+YVp2qZXPoORWlScVqRaSVnqaIu4ZVEk8YUgcsn+FSLqWnQ/Mkgm55QDBqvLCslhKy9VU8e9YKx8h8cE8/Ws4ezfvGbu3ymrqUj6syTEbTEfkVew6fjVdEkZMnqDj6VbsUMUgzgr6VrfYoXk3RSfeGSPSnKroTy20MPzZfI8hWKjdn8avwt9pVfMUbwcZq4+kvuB2+4x3rU0zRy8gVlwT0zWUqql6mkYxSMr7EiRmSQhQv94+tULrTv9IYMOT0rZ8QRRyWwiiwyAkMR0yKp20/nxLHOPmUABq0jfqyJT7FSyt2hk+bgDg59KJLYrdSR4yASQR3Faf2UuBh1K5zwMZ+tXYbUSMjkZfp9afs7u5hOvZmFLE/2UurNheoz0qOBg4McpDg8cjmr2oq1tezxIMrjoO9UItrPuAxz1FdtOFo6nDOftHpsRPYtGPl6ZOPpRW9HDHJbDzefQr1/KitoUrq5Eqri7I4r7ExQuf8AWYLH3qWOHzEWOQYZfummLcSRTKzZZed2fep0v44yrtH5ikZ44IpVKV9Ys6qdX3dS9DYklWHULk5rNfL6lMyn5MYVfaprnxA7R+RbQ+WH43seRVVW8ooXByvc96xlKNONt2b04ynLUiWMxTnHQ9DWlHIrYIco/qp607bFKgbnaecgZxTU052fKsrr6rXHUxKktdzrp0knqWlgZ0Z2O7tnFZ9zZFXU/k1dLp1ukELLKwYsuAmev41ixysHltpxwrYGT2rlVWa957G6Ub2RUtkzJsbp6VeNicrKo+YdfenfZtrBgRj1rQtpYp7d4DncRw2OlVzqT0YSnyIz5LM5E8RQ56rn+lLFGIpdwXKOAGBpDbSRyZB5Heti0tftKAhcOOvvVTi7HM6qZVhVY7h1fhJaoz6a1u5BXMbZwRW3Nagx4xyOo9Kz5PPRdiuxHYHkVEKcorQylWTkrFILIkZAycVf0yQs4DHg9zToEeRgJEAPqBirhgS2Te2FPbHepcJSZo60YrUbcajJp8rwhzgAHaaQ6tLcxlRKcgY61ma1umkjuF6MNp/CobSTySC7fnW6jypPqY3Ulc0rS6XDRy8qTg+1WGt1iZSPut0I6ViXYdLkyIMxvzx2q7Z3U+1UySPQ1pHllvuRNu14m/aoksXlg4ftnvWZdXdwpwJljkTIweK1rN1KjcuD7VgeL1ACyBCGI6g9a76VOMjy5zaepCb2Zn2yLk5+91qdQmQ77UJ7g9a5ZJriNXIkYqrbfwq3DbzSHeHYkjua0dKKerLjN8t0jpJtXtNOjUhleYn8BRXHTKA585WLj1bvRXT7kdDJQc9WWY1E0Qb/AL6+tFxaRw/ZwCP3uePSktyBEqkfPJ823Pao5opTMkr9uFAPAri5G5NXPRUlypkZty0Uq4xLE2c+op9pG0iGNhx6elaUECs28kZYYbNSrZNbyA4OPUVy1HJXVjqhUitiK0tpIXwGIFaU6pBbmSU4/wBocHNLcxOI45o+QRhsdqsn/TdImtpACcZU1zum3qyZYlNooW91GzjaxIHrU1xbxTvv3BJCByehrmY5milK5KlTg5rUgvwQBJgg8fNWLhJbo0v1iacFvNGcAgr7HIq2unKWDBdrH+6KpQhmwYzjHQZzTptTubOM71yq+vU/hVQpc2iOepXaNuOzDxgPgketWB9n00+ZOygDtmuRPiGds+UwBBxyeazbm6ubm4zPKzNkNljxmuuOHvuzD2sn0Lx1yb+2JpP+XdjtC57DvWzBLFcqGU57iubltWAWZRz3FT2072zEL6cA1UoveOwrK2u51sJgyitgFjjmodZjFzpyeV/rIyenpWJJf+ZGjrkMOGHoasWuoZ4JH41VNw66GbjK9xluUmh8txkVA9gynA+ZQflYelWykTy7o2KN6EY/Wr0CuBh1Rh3INU49gdSyM6G0Z0wDn2q5aQjGMBXHY8VpJCp+aPhuvXFT/wCj+cGmwoIOT0xUqir6kSrtqyM5tTtrJts52OO4FYWpXo1S4MmS4Awmaq6ndrLqtyqlZYw+EDemKSGdhgIiRk13QtBW6nK1KWofY2hxJsJUnDADvWzYxRgAMoXPUE1SE9wqEqFx3JNSx6gjMPNRQR1wKxrQd7tm0JtxshusaaizLNAVbf8AwheaK0LaRpSZF2qOi7jRRGXMroXKo6M4m3kIZUcjcBgEVqxSpKhhkG2THGe9FFa1ujNqD1cSzDMkTFH4B4CmtKEuyZRdyiiiiSUqd2gm3F6EE9yB8p4PrjBqs92yx7Y1YL3LcZoorlsieZ6MzZLOKSUzJuG7kjrTkt9wAHABxn0oormbd7HWpM3NPV42CuCMdz3rR1O0WaxLofmx8tFFb0knc46snzXOCmge1vSWBBOK3IIYr2FSMeYOCD3ooqX7q0Ope8rs07a3XyzA6ngZLE9KyHhWSaSNWwxHy+9FFaU2+W5jPV2GRl0JEsYb1x1/KrCxRsQ0UjIT2YZFFFOpGLKoScnZk6LcLw7jHpnj8qv299DAMmPf+PAoop0Ugq+8jN1PxGIL8Jar8m35tx7+1Um1i7vcIZQinqF5/LNFFdUkoRTRhCClJp9Bslsu0SKNhU5OTyantikqiNshx900UVjJuS1OilBWZaeFTGPOUg54YHFMW2IAMZ3D0eiiuKc5W3LhBbmjBCt2pWRihXoB0oooqYN23Ca10dj/2Q==\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "....................octave 1/3\n",
      "....................octave 2/3\n",
      "....................octave 3/3\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "....................octave 1/3\n",
      "....................octave 2/3\n",
      "....................octave 3/3\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "....................octave 1/3\n",
      "....................octave 2/3\n",
      "....................octave 3/3\n"
     ]
    },
    {
     "data": {
      "image/jpeg": 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62KVGSZP4n+ZLaYfdAy1cudU8tCp+8W4x+VdfcQm8szC64IGQPTHNcncaYEutzcKvJzUqahK0jVQutDXspC4VJOcEd+tac8EdxZsCMSKwYFQB+Fc/FcKFznB7D6VZOp7FwW6j862XLLY55QaHajctaBUQbQ68H1oqr5iX0YSRsDsfSirVKwKHdljx/pdzDFFLE/7j+6K5WxldAOD9cV6JrQNxpbwZ8zjIFedCIiU54x2JxXZXn7qtoaUItXuaxupEhLKpIGBVqylExUmQnpkdKzYGaMbWyqscVr6fZytIpIG3P3wP515U60nK19Dr9jHlu9zVFyLNQXVjn7mBxmmGZL2B0YgPnIb3qzr5I0WIMgYxvkFOPzrmbe7MYGD71Sp8+r2Ijyx06l6SWWErGyNgjjFK1wob54yCexHNMW+3jaRk9QDUC3bMxym3nG1l4NS6Vtiox5nZlpjDvWVRkr2akN5LJK2I9qZwBUQAIPXnng0rFmX/AFgGB0qXS62JlTTJ4by8jbMbrEO4Yda2oIBqthJMygMmc4rBsLKS6lwCdin5mJ4FdXC8djpfkJgbiWY96dVKNOzHSTVTQ4y+tXjZ2ThU5A9xWHLauI5CB1+79a627lW5bbCB5ZyGb3FUpIEdgMqsY7nvWFH2sTsn7OWhiW3mLMcZxtAH1rr9MBYJ6msy2sRPJvQD0ArQeZLIImfm6/SvTp6RuzhnBc3ulPxOkVxq4eMbVVQCR3NZ6bYCSqZJGBWwIEu1YPzu6N6GqcmmzxtnAYA54NYSvPU05eXQhNwnEcoUsOhFSx3MiSRvBIvy9zVE28qSbgnOeM0ircsxLjy+xpcnYSjdnQafqawyE3UhCk8kDk5q7q1lFcxF4SNjDI9xXNRWMlxIonbagxnHeulSbbDFDGmFXhQT/OlOlzx8xKXJLU468jkglzzhTn6+tUllaTCOSCrbga6vVrTDlQM4P61iyWUYb+447HpXPRxKg+WSN6mHU48yJbBDuG8YHrRT4JGt2AkG5SOo7UV3rEJo4nhmtNzaW8CziPOVbkDOaztQ0gSzNJEACTypFULK4Zp1nbOEOKtPqLEkZOM+vWipV5pcrN1SaSkistoyMIbiPZnpzXS6ZHGYQzgiROCQetcpdXTSGIKTu83OT+tbf9opaSneQFwS3PpXK6N6iNlPmptHRXcVvd2MkDngrwR2Nefy28sEzQnkqcDjr6Vfk157gbUO1WyB7+9EV0AxKcueSa62uVamMIO9kRQW10F4jPX+IcCrKWcrf6x+lIsuSAVd3PGFO38/Wr8SjaAcbuyLz+dS5rY61StEpLZQb9zTEt7Gp/LtEUtIW2gZ69akuLe6D+YFCxhcnA7Vjy38cr7Io2JHBOetTfmFyqOqR1cF/YCEJbSqqAZwRnn3qpq14xswYWWTccEoe1YSvcFTwqL9OTSyhsAzONxHygelS4Ra1J5WndIhd5orVIkR/vF2ye5qnI8/dWA9S2a0BDM3QkZ7jmq0sQD/ADSxjHPyA8itadSKXLcJ0XJ8x1Xh8w21pGZHDyHkisrVfPtdQkMkRKudyN2xVTTpAsm2NyvuxyP0qXUrwsypCS5UYLHlafK5RsDSUrjYtYZSOcAH0x1rYgvjKcKeT7VyBlKnBXpjpVyK+eKNUV1jUd2XJPvmo+rNP3TS8Z7o3Ly9iju3tyInmUA/IODUfnMM8D8qoQ3sBYs5DserIMVI9xAy/LJtb0J5qqlN9UYqLTL1uySygzTbYwCcLxmrY1K0gOI1OfUnNU4LZXSWaf5kcgoF9KcLWCQ/KDEnq/NYOo4vlWwvZuerNOB4tTtpbgMCsON3rmufvpE/tFmPQDoKbe64La3a0sxw3X3NYoa4k+Zjlj97dxUqguZze7LfNCNi5JfSvI8UKCRc/wCeaKrx7o8CPGfQ96K25IdkZwqJLVloxvFDFGgGI+uT973qqkc0xLBCc9Seg/xq01287ZEW4foarz306PtbaAOigYpwptavc1nd6LYs21tsmSSY4VRhR6U6/SLLuJRO78YU9M1nDz7kgkPI3sduPypVV4X27CG9Kvls731HGC5bWGrLtOeEbuHX+tW4tSMalREHXOKYxaOLzJiuzuCvWqkl47H5URVHQL/WqS5pWkjRwUVdF574tcPKgMZbohOQPpV+31W5jUDysD+8MViC9mCfdjx2+WrFtfziN/IVGJH3cZ5qJ0k2aU3eOuyOkh16byyCgw67TkdqyYokWR1twMnLZ/nVKLUHfG+Ldj04qQzRk5QPE/elKjJKwcqvzRLhilkbOcIvHWmtZzDmEFn61SjubmI4SQMB/eFXU1Fgquemf1rBwnHQqPK3ciWNtqu7vySMg9DURtJGbKsHbHQ8E1rRXtvLC0Usa4Jzx2NXItPhnKmF+vQE9/rTU+XVIU430Zz6xoFzIpT14okZPlCRkj06U251DyruSERkBGx8wzzRHeRuh3Rbj6hqqVSa6BCjFiiQDGUMfoSMilnR4WUNGoVwCueQakjeFxldw9QwyRVeXeZmZZfMB7dMfSqjVu/e0NPZdiNjg4eAr79qd5j/AHUYH/ZI5/Onpuz8knPdHGamEXmJh49jDoymn7ZddQlQ6Ijh1G4tSFBKex5FWX1NZ12yhi5GPl4AqjMGUYyCeoyM0iSArtaMRsf4jzuqmoy1OZycdLCNbtAd4QyMx+Vl7elWhZORlpFJJz06UyEzo2Y2yBzgjIrSgnik+WZCjnoc5BoacjGcGtehSFmN3/HwAfXHAorWZYI4i0riOI8bsA5orJtIhQT6GDFPbRYYrlh71V1G5OoXAlZAUVdq4HNM+zR54mwnpnn86sR25bIgZSy9UY4NdCkkdChcpeZ5cYMZZWPr1FJDPOpHzFjV6S3LuGaPZgDgfrVmCxiY5EqYPXJ6fhScoF2knqNN55umTJebTEFyM9c+1Z8XkuF2OvAwA3Bq3eRI0TiFidrcEd6z5LfDYK/KcGplUg9OxrClLfuXkR2BLoGXGDjrTGECSYgmXPoeCpq/prIgRJ87QeuOcVi3SOL6YqBtLkqR6VCbV2tDZJN2sXoxcIDlVkA644NWo1+0KFZScce4rMhHmdyrjlSK3bBN+3cMOCMn1qZ1ZfCjRQS1ZSe3KruUhgOoPBFRm2NwuACGU7lGev8AjVzXN9lcKm3mVd27sapw3IdeOGq1Ky31OWa5noiCFJS+zow654NbFvcC1iO5t0n8IFBcGEebGr49uQfrVFrxAcwxgjkHPJFYyqa2ijSFJte8xksJFy8q8rJ8xVuRU1vDE8nAKt3HardmkV2NmQj44BFJeJ9lk8ppAHPQLj86xdSX2jeMI/CST2K28SykgFwVAz19KqvbHCMi8GqhBe4G5mz2yTjNatpcCNfLnUup9MZH+NTPmuncpe6is8O1o5FXquGHvWhYyxo6rJGXU/gafi3K/wCtUDsW45qrdzIJES3dSkQO5x3PtU83La+oO890ZV9vh1GeOOQBA3C0sbLL8kgxyMn0zVk2fnHdGwZuvB60htMZB2q3oc81usTFuxk6CtqKieTIFcHByMg9CKmcukBYDzF6njBxTYA+4JID1yCavbPs8u08IwPUcdKqFVNpGNWm+Wxzk1wtzJu3koDwG7UU2eOA3MyKOA2QexorqvH7Rx+ym9UQhWVyScLTvMkSYgEjvn2qbcI9kLrjAwferMcMR2tuDBRjIGeKxlVtodKpJPmZdsHMmEk+b3NZmswraak1uwYHkjBxWpBNbWylxIGI6AdaztSL3ky3jZLkncD1o5Y2s9Ai25XWxDbzCN0KncMgMD6VsRw292qPG43AYKHqP8ax44VccHA9+tWpF8i3XPUniobg0a2lexpS2yWsQZ1A3H5Qe/FUVjic4fCMvKk9CKzGiuDdpKXdihyNxJrYlRJrRGTG8cOvtXPUabVmdMVyrUX+zUUq4IKnkEHIrRs7bA3cYXqazYYmgiQxkqM4x2FWCZiCN2MjBIqFNJ6sU1JqyDxHcm5WPygDHEO45rDhJVgQOPQ1uJDuOw8hhtqA2DRSbccZ4pzrczCnBQVhsLEzRK5+STFV/s4RniJ+6xwcdauG2YxYXOUJx7VCiM77ZBj0NS6itY0jTbdx9tG6uMcH61avrAzvHOoO4AAirmn2paVY5hw3GaqXWrC3ungiZWMZIbiudVZt6GjjFFc2TAEsD0OB606GPzcArhqvxahbXka+apjkX+IcipWn063RpHuFyo6DqaaqP4XuJ2e5nanCRpTpyZAQwHsKxrUMJFK5HOceorca4Oo3Er4wpACKOwAqBLME+jDmqUnBWZN4sms7TLZXgelSysnnvbS8Hgg/hTJpHtoFkTIfsQelQ3s7TLDOx+eQdT2pKWvmS7v0L9vYNIAQQyjnPaq9/cx+ebdPnEagE+p61kRSyOWUswZc/Lmri27SMsy/eAAJ9cVsrR+JmMotsQ6aLtswDLED5R3oq2FaPBVij46iiumFSDjrIwlTnf3TNktPtB2sMSEce9OtrdiMHIkX9atJqEe1WmTAHIb6dae+r6cis8Tb3HG0DmskproTOrdWKt1CIvKdiFZ+nON1OtYYpmKs4VmGOfWoboHU4AWGHjbKew9Krosi8EHg0m5NbmsUjRGnNHMgYY5ovbN3DwkZVTlG9qsQSXBRAWY4GBkZxVtri3iuFs7iQCQpuXJrGVXaxrG/Uxzbv9nVyPm+6TTYbd3bcAc9xW+bbKlRh4m5yvanQxWtsyvPIqKTySe1Tzy2SL9rEqGIDSbh3bY0a7getczDfTyqsgOCR07GtS+1RL2SZIT+6BwvuKzIoTE+MfKTn6VcIxUXfclzm5Jx2L0V/wCYAGzG/vV5NScuY5Ygw4we9U1tw6ZZNy+o7U+Ozb+DcQPWspSgjaPvmixt7m5aSN/KYqBt9KuJYCT5jt6ZJFUjbmG1MhGNoyc9hWHeXF0rHE0gVhwAaxjFze9i3JpaHWXF9b2UC+WytN0AHbtXLXlrm8abnEh3H60toA5GTweRk1tw2guYDER82PlrWLUXyoi2nMzJhjKLnnnvTJoD9oeN/vYBH5VqLbFlaNhhh2NRvavI3zZ3DuO9T7VR3FZzZXsg1u4YEfL261r3Eti3lsS0buM4K/Ln61RSBt4Rz16E9quJYtIFQggr2rJ1G9U9yuS2jB7UTYPLDtxxUF3ZMsSqRgqd1aZMunW5dTgAcZXNUNNvTc74LtlMhYkNjGRRafxXJlNLSxmtZHzPMXg960II/LCk8I/GfetEWYjfY44I4NQyWrixdFHJcFfp3q7zdmzOVVPQzL5GhvNgBUMo+lFaUsH2qNDxvUbSDRW/KnqjGNdxVmcvfjfaRTw/6ssCR7VDBDFJlcBSe4rRtLZkthay8rt25x+tUzayRSkY5B5rr57rlvsYKmr3RoW22FR5ucDjIq/HaQzEOjoynrk4qnEpMYIGV7qabtRmJjUAf7P+Fck6vK/eRtGnzbFieeO2ZY4WDOWxnqBXLXSTTX5lmJdwdpz6V0otwcEgDPINR3ViElWQjh8hj79qIVk5adTWUOWKuUrOWWFeJWA9AakuY5J435JbaSM0klq6SgYrVt4vMVRja6+o6isJzlHqV7j1RzVpE0cgz06GttbZAqhhw3CnFXH0xQ+4x7fcdKnmgie1jG75kbIzxRzOo7oJTSRiqZIJzsJ/DitO3uWyGcn3NFxbBEaQDIx1qJU+bGQVbjrXPKlJyuWsRFRNkXKXlhLbAAeYhGfWuWW3yhhcfMhwK0LVnt5wueh49xVu7sfNX7TF1I5HvW6g+W63RCq2l5MxYIGgPAyo6ZFbltKAiupwRzVURE8r98EfL7d6zpJJBIRGWQjPQ4ocZSXMa88W7HSvIlw+8xorf30br+FW7e1iuR97bIOx71z+nyyyShZhk/3sVtXwa0s/tABCjqR2rNqU3ZilONPRFttLDlVcBXHQ9iKuW1tb24BuJVUDv1rnLfWJnG1pS3oT1p11JLPZybWJdTnHtSVCz1ZPt7qxo3l1a6hJdW8IxGOEb14rlxasrEYJxVuyc7wec+tbLWauglGPQ1bg1exM6qjZGbA1wcL5jZXsemK0lZlQmVfzqNITC46HHAPtVuPyryL73IUjHStaFOUnZnJWqJLQRFhH70sFiJ5NFYVxLJp9y8MoLR5DKKK9CNJW0OOUnfTUgtCjDy5ANp71Ya2DtgYJBx7/AJ0UVy1H71+51L4bFaaGSNSOqHr2NUrSB7eTMbFk/unnH40UVm3q0aUpuzOmtrdLizd9oUqM/WskXqSAwyrjBwDRRWM/caaNabc7pkoaIgLIMr0DCrtnHlwUbcPeiitrKWrOZza0RsTJG9k+0YkA4PUZrgZ7q4ju5GdizjIx/CvNFFdsIR00Ofnlc2bHU4Z4DHKhG7gnrilkgKcqg29m7UUVnJJSsaNe5zET/MoDRliOhAqNb+WNvLjYt/smiinyR1Y4zewjzpJIAN0co54NSpAZx8wGf72KKK56ytaxvCTtc1bOyQEbh8w6VY1WVLnSZbP0HGOuaKKUIpWZzzm5PU4+JjCwDHpwa2rC5XgP0HBz6UUVE9FdHYveSJpLUQNvQ/IeVYdKkW7aKXCuAccq39KKKmMnzMHG6sy1FdozbGUAn0H9KnVVicOqt656Ciiuqm72OKrFFTV7ZbuJWwQ3YkUUUV0qWhzOTjoj/9k=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "h, w = 200, 200\n",
    "\n",
    "# start with random noise\n",
    "img = np.random.uniform(size=(h, w, 3)) + 100.0\n",
    "\n",
    "octave_n = 3\n",
    "octave_scale = 1.4\n",
    "objectives = [T('mixed4d_5x5_bottleneck_pre_relu')[:,:,:,11]]\n",
    "mask = np.ones((h, w, 1))\n",
    "\n",
    "# repeat the generation loop 20 times. notice the feedback -- we make img and then use it the initial input \n",
    "for f in range(20):\n",
    "    img = lapnorm_multi(objectives, img, mask, iter_n=20, step=1.0, oct_n=3, oct_s=1.4, lap_n=4, clear=False)\n",
    "    display_image(img)    # let's see it\n",
    "    scipy.misc.imsave('frame%05d.png'%f, img)  # ffmpeg to save the frames\n",
    "    img = resize(img[10:-10,10:-10,:], (h, w))  # before looping back, crop the border by 10 pixels, resize, repeat\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you look at all the frames, you can see the zoom-in effect. Zooming is just one of the things we can do to get interesting dynamics. Another cropping technique might be to shift the canvas in one direction, or maybe we can slightly rotate the canvas around a pivot point, or perhaps distort it with perlin noise. There are many things that can be done to get interesting and compelling results. Try also combining these with different ways of aking and modifying masks, and the combinatorial space of possibilities grows immensely. Most ambitiously, you can try training your own convolutional network from scratch and using it instead of Inception to get more custom effects. Thus as we see, the technique of feature visualization provides a wealth of possibilities to generate interesting video art. "
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
